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ON THE INJECTIVITY RADIUS GROWTH OF COMPLETE NONCOMPACT RIEMANNNIAN MANIFOLDS
INJECTIVITY RADIUS GROWTH COMPLETE NONCOMPACT RIEMANNNIAN MANIFOLDS
2018/4/19
In this paper we introduce a global geometric invariant (M) related to injectivityradius to complete non-compact Riemannian manifolds and prove: If (Mn) > 1,then Mn is isometric to Rn when Ricci curva...
Injectivity and flatness of semitopological modules
Injectivity and flatness semitopological modules Optimization and Control Analysis of PDEs
2011/8/30
Abstract: The spaces D, S and E' over \mathbb{R}^(n) are known to be flat modules over A=\mathbb{C}[\partial_{1},...,\partial_{n}], whereas their duals D', S' and E are known to be injective modules o...
Holder continuity and injectivity of optimal maps
Holder continuity injectivity of optimal maps Analysis of PDEs Differential Geometry
2011/8/25
Abstract: Consider transportation of one distribution of mass onto another, chosen to optimize the total expected cost, where cost per unit mass transported from x to y is given by a smooth function c...
Sets of Injectivity for Weighted Twisted Spherical Means and Support Theorems
Heisenberg group twisted spherical means twisted con-volution
2011/2/25
We prove that spheres are sets of injectivity for certain weighted twisted spherical means on Cn. We also prove an analog of Helgason’s support theorem for weighted Euclidean and twisted spheri-cal me...
An Injectivity Theorem for Casson-Gordon Type Representations relating to the Concordance of Knots and Links
Injectivity Theorem Casson-Gordon Type Representations Concordance of Knots and Links
2010/11/24
In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let $\pi$ be a group and let $M \to N$ be a homomorphism between project...
On the injectivity radius and tangent cones at infinity of gradient Ricci solitons
injectivity radius tangent cones infinity of gradient Ricci solitons
2011/1/18
A lower-bound estimate of injectivity radius for complete Riemannian manifolds is discussed in a pure geometric viewpoint and is applied to study tangent cones at in nity of certain gradient Ricci sol...
Injectivity of a certain cycle map for finite dimensional W-algebras
Injectivity certain cycle map finite dimensional W-algebras
2010/12/6
We study a certain cycle map defined on finite dimensional modules for the W-algebra with regular integral central character. Via comparison with the theory in postive characteristic, we show that thi...
Togethere with I Rodnianski we investigate the regularity of past boundaries of points in regular Einstein-vacuum spacetimes. We provide conditions, compatible with bounded L^2 curvature, which are su...