Publications of Ralph Howard

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  1. MR2428202 Howard, Ralph; Hug, Daniel Nakajima's problem: convex bodies of constant width and constant brightness. Mathematika 54 (2007), no. 1-2, 15--24. 52A20

  2. MR2342484 (2008j:52006) Howard, Ralph; Hug, Daniel Smooth convex bodies with proportional projection functions. Israel J. Math. 159 (2007), 317--341. (Reviewer: Monika Ludwig) 52A20

  3. MR2233133 (2007f:52004) 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)

  4. MR2218982 (2007a:26015) 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 (electronic). (Reviewer: Kazimierz Nikodem) 26B25 (39B72 51M16 52A27 52A40)

  5. MR2210640 (2007a:53052) Howard, Ralph Constructing complete projectively flat connections. Rocky Mountain J. Math. 35 (2005), no. 6, 1909--1922. (Reviewer: Maria Falcitelli) 53C05

  6. MR2111419 (2005j:52010) 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

  7. MR1941441 (2004f:58014) 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)

  8. MR1943899 (2003m:26017) 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)

  9. MR1872378 (2002k:53136) 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)

  10. MR1877650 (2002i:05112) 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. (electronic). (Reviewer: Robert J. Simpson) 05D05 (11B25 12L12 20B20)

  11. MR1859916 (2002h:35044) 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)

  12. MR1823836 (2002e:83045) 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)

  13. MR1784152 (2001h:46010) 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)

  14. MR1736640 (2001c:26015) 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)

  15. MR1713810 (2000i:53047) Howard, Ralph Blaschke's rolling theorem for manifolds with boundary. Manuscripta Math. 99 (1999), no. 4, 471--483. (Reviewer: Daniel Hug) 53C20

  16. MR1664893 (2000f:53055) 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)

  17. MR1611140 (99d:35045) 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: Wen Xiong Chen) 35J60 (35B50 35D10 53C21 58E15)

  18. MR1606594 (99b:53087) 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)

  19. MR1451806 (98k:53096) 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)

  20. MR1397807 (97j:60021) 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)

  21. MR1390366 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)

  22. MR1363008 (97a:53105) 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

  23. MR1336555 (96j:58035) 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)

  24. MR1169230 (94d:53114) 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

  25. MR1165169 (93e:35077) 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)

  26. MR1108648 (92f:60017) 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)

  27. MR1041885 (91d:60025) 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)

  28. MR1000156 (90j:47031) Howard, Ralph; Schep, Anton R. Norms of positive operators on $L\sp p$-spaces. Proc. Amer. Math. Soc. 109 (1990), no. 1, 135--146. (Reviewer: Ryszard Grząślewicz) 47B38 (47A30)

  29. MR0991266 (90c:41053) DeVore, Ronald A.; Howard, Ralph; Micchelli, Charles Optimal nonlinear approximation. Manuscripta Math. 63 (1989), no. 4, 469--478. (Reviewer: Allan Pinkus) 41A46 (46E39)

  30. MR0942633 (89g:33001) 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)

  31. MR0876319 (88a:53070) 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

  32. MR0880429 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)

  33. MR0874053 (88g:53063) 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)

  34. MR0819950 (87c:58033) 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

  35. MR0803835 (87h:58040) 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)

  36. MR0792286 (86m:53056) 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

  37. MR0568789 (81h:15002) Howard, Ralph Linear maps that preserve matrices annihilated by a polynomial. Linear Algebra Appl. 30 (1980), 167--176. (Reviewer: Pl. Kannappan) 15A04

  38. MR0560567 (81a:15020) 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)

  39. MR1538282 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. DML Item
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