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2008, OXFORD MATHEMATICAL MONOGRAPHS., ISBN 0198564953
Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially... 
Geometry | Contact structures | Algebraic varieties | Complex structures | Kähler geometry | Killing spinors | Orbibundles | Foliations | Orbifolds | Monge-ampère problem | Kähler-einstein metrics
Book
International mathematics research notices, ISSN 1073-7928, 03/2020, Volume 2020, Issue 5, pp. 1346 - 1365
Abstract A Riemannian manifold is said to be almost positively curved if the set of points for which all two-planes have positive sectional curvature is open... 
MATHEMATICS | EXAMPLES | RIEMANNIAN-MANIFOLDS | FAMILY
Journal Article
Osaka journal of mathematics, ISSN 0030-6126, 01/2018, Volume 55, Issue 1, pp. 177 - 194
In this paper, we explore the similarity between normal homogeneity and delta-homogeneity in Finsler geometry. They are both non-negatively curved Finsler... 
MATHEMATICS | RIEMANNIAN-MANIFOLDS
Journal Article
Annals of mathematics, ISSN 0003-486X, 2009, Volume 169, Issue 3, pp. 903 - 991
We define a notion of a measured length space X having nonnegative N-Ricci curvature, for N ∈ [1, ∞), or having ∞-Ricci curvature bounded below by K, for K ∈... 
Riemann manifold | Topological theorems | Approximation | Geodesy | Transference | Mathematical inequalities | Convexity | Topology | Curvature | Topological spaces | MATHEMATICS | EQUATIONS | LOGARITHMIC SOBOLEV INEQUALITIES | MAPS | RIEMANNIAN-MANIFOLDS | GEOMETRY
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 05/2017, Volume 2017, Issue 726, pp. 29 - 44
In this note, we will prove that given a sequence of Ricci flows of dimension , with Ricci curvature bounded below uniformly and volume non-collapsing,... 
MATHEMATICS | TENSOR | CONVERGENCE | SINGULARITIES | RIGIDITY | RIEMANNIAN-MANIFOLDS
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 11/2015, Volume 111, Issue 5, pp. 1071 - 1129
The aim of this paper is to discuss convergence of pointed metric measure spaces in the absence of any compactness condition. We propose various definitions,... 
EXISTENCE | MATHEMATICS | TANGENT-CONES | RIEMANNIAN-MANIFOLDS | UNIQUENESS | GEOMETRY | Equivalence | Mathematical analysis | Heat transmission | Spectra | Formulas (mathematics) | Curvature | Heat transfer | Convergence
Journal Article
Signal processing, ISSN 0165-1684, 2007, Volume 87, Issue 2, pp. 250 - 262
The tensors produced by diffusion tensor magnetic resonance imaging (DT-MRI) represent the covariance in a Brownian motion model of water diffusion. Under this... 
Diffusion tensor MRI | Statistics | Riemannian manifolds | diffusion tensor MRI | statistics | ENGINEERING, ELECTRICAL & ELECTRONIC | Machine vision | Anisotropy
Journal Article
1978, Beiträge zur Differentialgeometrie, Volume Heft 2., vii, 98
Book
Statistics & probability letters, ISSN 0167-7152, 2014, Volume 91, Issue 1, pp. 14 - 19
We describe a Langevin diffusion with a target stationary density with respect to Lebesgue measure, as opposed to the volume measure of a previously-proposed... 
Riemannian manifolds | Diffusions | Metropolis-adjusted Langevin algorithm | Markov chain Monte Carlo | STATISTICS & PROBABILITY | Algorithms
Journal Article
JOURNAL OF DIFFERENTIAL GEOMETRY, ISSN 0022-040X, 09/2002, Volume 62, Issue 1, pp. 17 - 38
A sharp affine L-p Sobolev inequality for functions on Euclidean n-space is established. This new inequality is significantly stronger than (and directly... 
MATHEMATICS | ISOPERIMETRIC INEQUALITY | MINKOWSKI PROBLEM | RIEMANNIAN-MANIFOLDS
Journal Article
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