Ralph Howard
Preprints and papers:
Continuous Nowhere Differentiable Multivariate Functions.
with Maria Girardi.
A
revision
has appeared in
Real Analysis Exchange.
Kinematic and Crofton formulas for linear groups
A revision
has appeared in Acta Mathematica Scientia
Schur type comparison theorems for affine curves
A revision
has appeared in Journal of Geometry
Bounding the number of lattice points near a convex curve by curvature.
with Ognian Trifonov.
A revision
has appeared in Functiones et Approximatio Commentarii Mathematici
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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