Publications of Ralph Howard

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  1. MR2957223 Reviewed Ghomi, Mohammad; Howard, Ralph Normal curvatures of asymptotically constant graphs and Carathéodory's conjecture. Proc. Amer. Math. Soc. 140 (2012), no. 12, 4323–4335. (Reviewer: Ronaldo Alves Garcia) 53C21 (53A05)
    Publication Year 2012 Review Published2013-05-30

  2. MR2428202 Reviewed Howard, Ralph; Hug, Daniel Nakajima's problem: convex bodies of constant width and constant brightness. Mathematika 54 (2007), no. 1-2, 15–24. (Reviewer: Peter M. Gruber) 52A20
    Publication Year 2007 Review Published2009-05-06

  3. MR2342484 Reviewed Howard, Ralph; Hug, Daniel Smooth convex bodies with proportional projection functions. Israel J. Math. 159 (2007), 317–341. (Reviewer: Monika Ludwig) 52A20
    Publication Year 2007 Review Published2008-07-01

  4. MR2233133 Reviewed Howard, Ralph Convex bodies of constant width and constant brightness. Adv. Math. 204 (2006), no. 1, 241–261. (Reviewer: Andrea Colesanti) 52A15 (30C65 52A20 52A40)
    Publication Year 2006 Review Published2007-03-13

  5. MR2218982 Reviewed Dilworth, S. J.; Howard, Ralph; Roberts, James W. A general theory of almost convex functions. Trans. Amer. Math. Soc. 358 (2006), no. 8, 3413–3445. (Reviewer: Kazimierz Nikodem) 26B25 (39B72 51M16 52A27 52A40)
    Publication Year 2006 Review Published2006-10-16

  6. MR2210640 Reviewed Howard, Ralph Constructing complete projectively flat connections. Rocky Mountain J. Math. 35 (2005), no. 6, 1909–1922. (Reviewer: Maria Falcitelli) 53C05
    Publication Year 2005 Review Published2006-10-10

  7. MR2111419 Reviewed Chen, W.; Howard, R.; Lutwak, E.; Yang, D.; Zhang, G. A generalized affine isoperimetric inequality. J. Geom. Anal. 14 (2004), no. 4, 597–612. (Reviewer: Konrad J. Swanepoel) 52A40
    Publication Year 2004 Review Published2005-07-22

  8. MR1941441 Reviewed Abrams, Aaron; Cantarella, Jason; Fu, Joseph H. G.; Ghomi, Mohammad; Howard, Ralph Circles minimize most knot energies. Topology 42 (2003), no. 2, 381–394. 58E10 (57M25)
    Publication Year 2003 Review Published2004-03-10

  9. MR1943899 Reviewed Dilworth, S. J.; Howard, Ralph; Roberts, James W. Extremal approximately convex functions and the best constants in a theorem of Hyers and Ulam. Adv. Math. 172 (2002), no. 1, 1–14. (Reviewer: Wolfgang Lusky) 26B25 (39B82 46B99 52A41)
    Publication Year 2002 Review Published2003-08-28

  10. MR1872378 Reviewed Chruściel, Piotr T.; Fu, Joseph H. G.; Galloway, Gregory J.; Howard, Ralph On fine differentiability properties of horizons and applications to Riemannian geometry. J. Geom. Phys. 41 (2002), no. 1-2, 1–12. (Reviewer: Robert J. Low) 53C50 (49Q20 53C20)
    Publication Year 2002 Review Published2002-08-07

  11. MR1877650 Reviewed Howard, Ralph; Károlyi, Gyula; Székely, László Towards a Katona type proof for the 2-intersecting Erdős-Ko-Rado theorem. Electron. J. Combin. 8 (2001), no. 1, Research Paper 31, 8 pp. (Reviewer: Jamie Simpson) 05D05 (11B25 12L12 20B20)
    Publication Year 2001 Review Published2002-06-13

  12. MR1859916 Reviewed Cornea, Emil; Howard, Ralph; Martinsson, Per-Gunnar Solutions near singular points to the eikonal and related first-order nonlinear partial differential equations in two independent variables. Differential Integral Equations 14 (2001), no. 12, 1441–1468. (Reviewer: Mehmet Can) 35F25 (35B38 35F20)
    Publication Year 2001 Review Published2002-04-26

  13. MR1823836 Reviewed Chruściel, P. T.; Delay, E.; Galloway, G. J.; Howard, R. Regularity of horizons and the area theorem. Ann. Henri Poincaré 2 (2001), no. 1, 109–178. (Reviewer: Alan D. Rendall) 83C57 (53C50)
    Publication Year 2001 Review Published2002-02-21

  14. MR1784152 Reviewed Dilworth, S. J.; Howard, Ralph; Roberts, James W. On the size of approximately convex sets in normed spaces. Studia Math. 140 (2000), no. 3, 213–241. (Reviewer: Wolfgang Lusky) 46B20 (26B25 41A65 52A07 52A27 53A40)
    PDF Clipboard Journal Article
    Publication Year 2000 Review Published2001-05-15

  15. MR1736640 Reviewed Dilworth, S. J.; Howard, Ralph; Roberts, James W. Extremal approximately convex functions and estimating the size of convex hulls. Adv. Math. 148 (1999), no. 1, 1–43. (Reviewer: Kazimierz Nikodem) 26B25 (39B72 41A44 52A27)
    Publication Year 1999 Review Published2000-11-29

  16. MR1713810 Reviewed Howard, Ralph Blaschke's rolling theorem for manifolds with boundary. Manuscripta Math. 99 (1999), no. 4, 471–483. (Reviewer: Daniel Hug) 53C20
    Publication Year 1999 Review Published2000-05-16

  17. MR1664893 Reviewed Andersson, Lars; Howard, Ralph Comparison and rigidity theorems in semi-Riemannian geometry. Comm. Anal. Geom. 6 (1998), no. 4, 819–877. (Reviewer: Miguel Sánchez) 53C24 (53C50)
    PDF Clipboard Journal Article
    Publication Year 1998 Review Published2000-02-24

  18. MR1611140 Reviewed Andersson, Lars; Galloway, Gregory J.; Howard, Ralph A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry. Comm. Pure Appl. Math. 51 (1998), no. 6, 581–624. (Reviewer: Wenxiong Chen) 35J60 (35B50 35D10 53C21 58E15)
    Publication Year 1998 Review Published1999-01-20

  19. MR1606594 Reviewed Andersson, Lars; Galloway, Gregory J.; Howard, Ralph The cosmological time function. Classical Quantum Gravity 15 (1998), no. 2, 309–322. (Reviewer: Robert J. Low) 53C50 (83C75)
    Publication Year 1998 Review Published1998-11-10

  20. MR1451806 Reviewed Howard, Ralph The sharp Sobolev inequality and the Banchoff-Pohl inequality on surfaces. Proc. Amer. Math. Soc. 126 (1998), no. 9, 2779–2787. (Reviewer: Eberhard Teufel) 53C65 (53C42)
    Publication Year 1998 Review Published1998-08-17

  21. MR1397807 Reviewed Goodey, Paul; Howard, Ralph; Reeder, Mark Processes of flats induced by higher-dimensional processes. III. Geom. Dedicata 61 (1996), no. 3, 257–269. (Reviewer: M. Zähle) 60D05 (52A22)
    Publication Year 1996 Review Published1997-07-09

  22. MR1390366 Indexed Howard, Ralph; Sisson, Paul Capturing the origin with random points: generalizations of a Putnam problem. College Math. J. 27 (1996), no. 3, 186–192. 60D05 (52A22)
    Publication Year 1996

  23. MR1363008 Reviewed Andersson, Lars; Dahl, Mattias; Howard, Ralph Boundary and lens rigidity of Lorentzian surfaces. Trans. Amer. Math. Soc. 348 (1996), no. 6, 2307–2329. (Reviewer: Paul E. Ehrlich) 53C50
    Publication Year 1996 Review Published1996-10-19

  24. MR1336555 Reviewed Howard, Ralph; Treibergs, Andrejs A reverse isoperimetric inequality, stability and extremal theorems for plane curves with bounded curvature. Rocky Mountain J. Math. 25 (1995), no. 2, 635–684. (Reviewer: Anders Linnér) 58E10 (53A04 53A10 58E12)
    Publication Year 1995 Review Published1996-06-17

  25. MR1169230 Reviewed Howard, Ralph The kinematic formula in Riemannian homogeneous spaces. Mem. Amer. Math. Soc. 106 (1993), no. 509, vi+69 pp. (Reviewer: L. A. Santaló) 53C65
    Publication Year 1993 Review Published1994-01-25

  26. MR1165169 Reviewed Howard, Ralph; Reese, Margaret Characterization of eigenfunctions by boundedness conditions. Canad. Math. Bull. 35 (1992), no. 2, 204–213. (Reviewer: Hideo Tamura) 35P05 (35J05 47F05)
    Publication Year 1992 Review Published1993-02-18

  27. MR1108648 Reviewed Goodey, Paul R.; Howard, Ralph Processes of flats induced by higher-dimensional processes. II. Integral geometry and tomography (Arcata, CA, 1989), 111–119, Contemp. Math., 113, Amer. Math. Soc., Providence, RI, 1990. (Reviewer: M. Zähle) 60D05 (52A22 60G10)
    Publication Year 1990 Review Published1992-03-19

  28. MR1041885 Reviewed Goodey, Paul; Howard, Ralph Processes of flats induced by higher-dimensional processes. Adv. Math. 80 (1990), no. 1, 92–109. (Reviewer: M. Zähle) 60D05 (52A22)
    Publication Year 1990 Review Published1991-01-19

  29. MR1000156 Reviewed Howard, Ralph; Schep, Anton R. Norms of positive operators on $L^p$-spaces. Proc. Amer. Math. Soc. 109 (1990), no. 1, 135–146. (Reviewer: Ryszard Grząślewicz) 47B38 (47A30)
    Publication Year 1990 Review Published1990-07-18

  30. MR0991266 Reviewed DeVore, Ronald A.; Howard, Ralph; Micchelli, Charles Optimal nonlinear approximation. Manuscripta Math. 63 (1989), no. 4, 469–478. (Reviewer: Allan Pinkus) 41A46 (46E39)
    Publication Year 1989 Review Published1990-01-02

  31. MR0942633 Reviewed Howard, Ralph A note on Roe's characterization of the sine function. Proc. Amer. Math. Soc. 105 (1989), no. 3, 658–663. (Reviewer: W. A. Al-Salam) 33A10 (42A38)
    Publication Year 1989 Review Published1989-04-22

  32. MR0906164 Reviewed Bezdek, J. C.; Hathaway, R. J.; Howard, R. E.; Wilson, C. A.; Windham, M. P. Local convergence analysis of a grouped variable version of coordinate descent. J. Optim. Theory Appl. 54 (1987), no. 3, 471–477. 90C31
    Publication Year 1987 Review Published1989-03-22

  33. MR0876319 Reviewed Howard, Ralph Classical integral geometry in Riemannian homogeneous spaces. Integral geometry (Brunswick, Maine, 1984), 179–204, Contemp. Math., 63, Amer. Math. Soc., Providence, RI, 1987. (Reviewer: L. A. Santaló) 53C65
    Publication Year 1987 Review Published1987-09-29

  34. MR0880429 Indexed Bezdek, James C.; Hathaway, Richard J.; Howard, Ralph E.; Wilson, Celia A. Coordinate descent and clustering. Control Cybernet. 15 (1986), no. 2, 195–204. 68T10 (03E72 62H30)
    PDF Clipboard Journal Article
    Publication Year 1986

  35. MR0874053 Reviewed Howard, Ralph On the Gehring link problem and the isoperimetric inequality of Bombieri and Simon. J. Analyse Math. 47 (1986), 243–253. (Reviewer: J. E. Brothers) 53C42 (49F10)
    Publication Year 1986 Review Published1988-04-19

  36. MR0819950 Reviewed Howard, Ralph; Wei, S. Walter Nonexistence of stable harmonic maps to and from certain homogeneous spaces and submanifolds of Euclidean space. Trans. Amer. Math. Soc. 294 (1986), no. 1, 319–331. (Reviewer: J. Eells) 58E20
    Publication Year 1986 Review Published1986-11-25

  37. MR0803835 Reviewed Howard, Ralph The nonexistence of stable submanifolds, varifolds, and harmonic maps in sufficiently pinched simply connected Riemannian manifolds. Michigan Math. J. 32 (1985), no. 3, 321–334. (Reviewer: João Lucas Marques Barbosa) 58E15 (53C42 58E20)
    Publication Year 1985 Review Published1987-05-07

  38. MR0792286 Reviewed Howard, Ralph; Wei, S. Walter Inequalities relating sectional curvatures of a submanifold to the size of its second fundamental form and applications to pinching theorems for submanifolds. Proc. Amer. Math. Soc. 94 (1985), no. 4, 699–702. (Reviewer: Shōichi Funabashi) 53C20
    Publication Year 1985 Review Published1986-08-24

  39. MR2632019 Thesis Howard, Ralph Elwood; THE VOLUME OF TUBES IN HOMOGENEOUS SPACES. Thesis (Ph.D.)–California Institute of Technology. 1982. 119 pp, ProQuest LLC
    Publication Year 1982

  40. MR0568789 Reviewed Howard, Ralph Linear maps that preserve matrices annihilated by a polynomial. Linear Algebra Appl. 30 (1980), 167–176. (Reviewer: Pl. Kannappan) 15A04
    Publication Year 1980 Review Published1981-08-01

  41. MR0560567 Reviewed Howard, Ralph Dimension inequalities on the range of a multilinear function with vector space range. Linear and Multilinear Algebra 8 (1979/80), no. 3, 247–252. (Reviewer: V. Syamala Devi) 15A45 (15A69)
    Publication Year 1979 Review Published1981-01-01

  42. MR1538282 DML Montgomery, Hugh L.; Howard, Ralph; Foster, Lorraine L.; Problems and Solutions: Solutions of Elementary Problems: E2559. Amer. Math. Monthly 84 (1977), no. 2, 139–140.
    Publication Year 1977