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An Invitation to Alexandrov Geometry: Cat(0) Spaces

geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and;

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Differential Geometry in the Large

, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kahler and Sasaki geometry.;

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A.D. Alexandrov

A.D. Alexandrov is considered by many to be the father of intrinsic geometry. A two-volume set, A.D. Alexandrov Selected Works contains;

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A. D. Alexandrov Selected Works Part I

include convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for;

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The Geometry and Topology of Coxeter Groups. (LMS-32)

of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems;

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A. D. Alexandrov Selected Works Part I

include convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for;

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Geometric approach to evolution problems in metric spaces

transportation theory. In the second chapter the product formulas for semigroups induced by convex functionals in general CAT(0) spaces are proven;

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The Geometrization Conjecture

-Hausdorff limits and to the basics of the theory of Alexandrov spaces. In addition, a complete picture of the local structure of Alexandrov surfaces;

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A.D. Alexandrov: Selected Works Part II

A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems;

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Classical Geometries in Modern Contexts

great idea of Leibniz that allows us to characterize, for these same spaces X, hyperplanes of euclidean, hyperbolic geometry, or spherical;

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Perfectoid Spaces

Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic $p$, and have;

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On Moduli Spaces of Semistable Sheaves on K3 Surfaces

vector (0, c,0) as well as moduli spaces for nongeneral ample divisors - with regard to the possible construction of new examples of projective;

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Invitation to Cat Spring

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Introduction to Symplectic Geometry

This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic;

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Synthetic Geometry Of Manifolds

This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces;

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An Invitation to Statistics in Wasserstein Space

when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible;

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Cambridge Tracts in Mathematics

targets in the sense of Alexandrov and Busemann. The work sets out much material on harmonic maps between singular spaces and will hence serve as;

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A Sampler of Riemann-Finsler Geometry

Finsler geometry generalises Riemannian geometry in the same sense that Banach spaces generalise Hilbert spaces. This book presents an;

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A Sampler of Riemann-finsler Geometry

Finsler geometry generalises Riemannian geometry in the same sense that Banach spaces generalise Hilbert spaces. This book presents an;

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Modern Geometry

through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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Berkeley Lectures on p-adic Geometry

Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter;

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Berkeley Lectures on padic Geometry (AMS207)

Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter;

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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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Topology as Fluid Geometry

This is the second of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection;

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Topology

of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient;

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