Ralph Howard
Preprints and papers:
- Shur type
comparison theorems for affine curves with application to lattice point
estimates.
-
Bounding the number of lattice points near a convex curve by curvature.
with Ognian Trifonov.
- Maps That Must Be Affine or Conjugate Affine: a
Problem of Vladimir Arnold
with
Alexei Gorinov,
Virginia Johnson and
George F. McNulty.
A
revision has appeared in Arnold Mathematical Journal.
- A Functional Equation Characterization of Archimedean Ordered Fields
with Virginia Johnson and
George F. McNulty.
A revision has appeared in The American Mathematical Monthly.
- On The Existence And Nonexistence Of Stable Submanifolds
And Currents In Positively Curved Manifolds And The Topology Of
Submanifolds In Euclidean Spaces.
with Shihshu Walter Wei.
A revision has appeared in
Contemporary Mathematics., 646, (2015), pages 127-167.
-
Total diameter and the area of closed submanifolds.
with Mohammad Ghomi.
A
revision
has appeared in
Mathematische Annalen., 363 (2015) pages 985-999.
- Tangent cones and regularity of real hypersurfaces.
with Mohammad Ghomi .
A revision
has appeared in Journal f¿r die reine und angewandte
Mathematik (Crelle's Journal)
- Normal Curvatures of Asymptotically Constant
Graphs and Caratheodory's Conjecture.
with Mohammad Ghomi .
A revision has appeard in
Proceedings of the American
Mathematical Society 140 (2012) pages 4323-4335.
- Nakajima's Problem: Convex Bodies of Constant
Width and Constant Brightness.
with Daniel
Hug.
A revision has
appeared Mathematika 54 (2007) pages 15-24.
- Smooth Convex Bodies with Proportional Projection Functions.
with Daniel
Hug.
A revision has
appeared Israel Journal of Mathematics 159 (2007) pages 317-341.
- Convex Bodies of Constant Width and Constant Brightness.
A revision has
appeared Advances in
Mathematics 204 (2006) pages 241-261.
- Circles Minimize most Knot Energies.
with Aaron Abrams,
Jason Cantarella,
Joe Fu, and
Mohammad Ghomi.
A revision
has appeared in Topology, 42 (2003) pages 381-394.
- A General Theory of Almost Convex Functions.
with Steve Dilworth
and Jim Roberts.
A revision has
appeared in
Transactions of the American Mathematical Society
358 (2006) pages 3413-3445.
- Extremal Approximately Convex Functions and
the Best Constants in a Theorem of Hyers and Ulam.
with Steve Dilworth
and Jim Roberts.
A revision has appeared in Advances in
Mathematics 172 (2002) pages 1-14.
- On Fine Differentiability Properties of
Horizons and Applications to Riemannian Geometry.
with
Piotr T. Chrusciel,
Joe Fu,
and Greg Galloway.
A revision
has appeared in
Journal of
Geometry and Physics 41 (2002) pages 1-12.
- Constructing
Complete Projectively Flat Connections.
A revision has appeared in Rocky Mountain
Journal of Mathematics 35 (2005) pages 1909-1922.
- Solutions Near Singular Points to the
Eikonal and Related First Order
Non-linear Partial Differential Equations in Two Independent
Variables.
with Emil Cornea and
Per-Gunnar Martinsson,
A revision has appeared Differential and Integral
Equations 14 (2001) pages 1441-1468.
- Regularity of Horizons and the Area
Theorem.
with
Piotr T. Chrusciel,
Erwann Delay ,
and Greg Galloway.
A revision
has appeared in Annales
Henri Poincaré 2 (2001) pages 109-178.
- On the Size of
Approximately Convex Sets in Normed Spaces.
with Steve Dilworth
and Jim Roberts.
A revision has appeared in
Studia
Mathematica 140 (2000) pages 213-241.
- Towards a Katona Type Proof for the
2-Intersecting Erdös-Ko-Rado Theorem.
with
Gyula
Károlyi
and
László
A. Székely.
A revision
has appeared in Electronic Journal of
Combinatorics
8 (2001) R31
- Extremal Approximately Convex Functions and
Estimating the Size of Convex Hulls.
with Steve Dilworth
and Jim Roberts.
A revision
has appeared in
Advances in Mathematics 148 (1999) pages 1-43.
- A Strong Maximum Principle for Weak Solutions
of Quasi-Linear Elliptic Equations with Applications to Lorentzian
and Riemannian Geometry.
with Lars Andersson
and Greg Galloway.
A revision
has appeared in Communications on Pure and Applied
Mathematics 51 (1998) pages 581-624.
- The Cosmological Time Function.
with Lars Andersson
and Greg Galloway.
A revision
has appeared in
Classical and Quantum Gravity
15 (1998) pages 309-322.
- Comparison and Rigidity Theorems in Semi-Riemannian Geometry.
with Lars
Andersson.
A revision has appeared in Communications in Analysis and
Geometry 6 (1998) pages 819-877.
- The Sharp Sobolev Inequality and the
Banchoff-Pohl Inequality on Surfaces.
A revision
has appeared in Proceedings of the American
Mathematical Society 126 (1998) pages 2779-2787.
- Blaschke's Rolling Theorem for Manifolds with Boundary.
A revision
has appeared in Manuscripta Mathematica 99
(1999) pages 471-483.
- Boundary and Lens Rigidity of Lorentzian Surfaces.
with Lars Andersson
and Mattias Dahl.
A revision
has appeared in Transactions of the American Mathematical Society 348 (1996) pages 2307-2329.
- Processes of Flats Induced by Higher Dimensional Processes III.
with Paul Goodey
and Mark Reeder.
A revision
has appeared in Geometriae Dedicata 61 (1996) pages 257-269
- A Reverse Isoperimetric Inequality, Stability and
Extremal Theorems for Plane Curves with Bounded Curvature.
with Andrejs Treibergs.
A revision has appeared in The Rocky Mountain Journal of
Mathematics 25 (1995) pages 635-684.
- The Kinematic Formula in Riemannian Homogeneous Spaces.
A revision
has appeared in
Memoirs of the American Mathematical Society 106 (1993) no. 509.
- Characterization of Eigenfunctions by Boundedness Conditions.
with
Margaret Reese.
A revision has appeared in Canadian Mathematical
Bulletin
35 (1992) pages 204-213.
- Norms of positive operators on Lp-spaces.
with Anton Schep.
A revision
has appeared in Proceedings of the American Mathematical Society 109 (1990) pages 135-146.
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