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Metric Structures for Riemannian and Non-Riemannian Spaces

systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index;

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Curvature

Riemannian, sub-Riemannian, Finsler and sub-Finsler spaces. Special attention is paid to the sub-Riemannian (or Carnot-Caratheodory) metric spaces;

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Radon Transforms and the Rigidity of the Grassmannians (AM-156)

rooted in the Blaschke problem: Is a Riemannian metric on a projective space whose geodesics are all closed and of the same length isometric to;

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Semi-Riemannian Geometry With Applications to Relativity

with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and;

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Spinors on Singular Spaces and the Topology of Causal Fermion Systems

Causal fermion systems and Riemannian fermion systems are proposed as a framework for describing non-smooth geometries. In particular, this;

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Riemannian Optimization and Its Applications

optimization in Euclidean spaces and Riemannian geometry are included. Riemannian optimization is then introduced by merging these concepts;

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Metric Structures in Differential Geometry

of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin;

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Homogeneous Structures on Riemannian Manifolds

The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian;

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Lectures On Finsler Geometry

of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then;

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The Decomposition of Global Conformal Invariants (AM-182)

given manifold. These functionals act on a metric by first constructing a Riemannian scalar out of it, and then integrating this scalar over the;

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Decomposition Of Global Conformal Invariants

given manifold. These functionals act on a metric by first constructing a Riemannian scalar out of it, and then integrating this scalar over the;

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Differential Geometry - Proceedings Of The Viii International Colloquium

This volume contains research and expository papers on recent advances in foliations and Riemannian geometry. Some of the topics covered;

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Einstein Manifolds

homogeneous spaces, submersions, or Riemannian functionals.;

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Recent Advances in Differential Geometry

The book narrates the saga of origin of geometry especially non-Euclidean and covers up to few generalizations of non-Euclidean geometry;

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Riemannian Manifolds and Homogeneous Geodesics

manifolds, and compact homogeneous Riemannian spaces. The intended audience is graduate students and researchers whose work involves;

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Riemannian Manifolds and Homogeneous Geodesics

manifolds, and compact homogeneous Riemannian spaces. The intended audience is graduate students and researchers whose work involves;

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Algorithmic Advances in Riemannian Geometry and Applications

researchers in the field. These include statistical modeling and analysis on manifolds,optimization on manifolds, Riemannian manifolds and kernel;

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Lectures on Nonsmooth Differential Geometry

detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order;

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Lectures on Nonsmooth Differential Geometry

detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order;

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Foliations 2005 - Proceedings Of The International Conference

flow, an extensive survey on non-commutative geometry of Riemannian foliations, an article on contact structures converging to foliations, as;

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Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 4

of a Riemannian metric to constant scalar curvature; Clifford Henry Taubes on the stable topology of self-dual moduli spaces; Karen Uhlenbeck;

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Global Riemannian Geometry

Riemannian manifold. It is intended for both graduate students and researchers.;

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Riemannian Geometry

This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an;

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Riemannian Geometry

This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an;

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Riemannian Computing in Computer Vision

This book presents a comprehensive treatise on Riemannian geometric computations and related statistical inferences in several computer;

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Riemannian Computing in Computer Vision

This book presents a comprehensive treatise on Riemannian geometric computations and related statistical inferences in several computer;

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Cambridge Tracts in Mathematics

existence and regularity results which use the potential theory of Riemannian polyhedral domains viewed as Brelot harmonic spaces and geodesic space;

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