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A Perspective on Canonical Riemannian Metrics

This book focuses on a selection of special topics, with emphasis on past and present research of the authors on canonical Riemannian;

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A Perspective on Canonical Riemannian Metrics

This book focuses on a selection of special topics, with emphasis on past and present research of the authors on canonical Riemannian;

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Ricci Flow and the Sphere Theorem

In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the aim of finding canonical metrics on;

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Riemannian Optimization and Its Applications

This brief describes the basics of Riemannian optimization-optimization on Riemannian manifolds-introduces algorithms for Riemannian;

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Riemannian Geometry

This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on;

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Riemannian Geometry

This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on;

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Generalized Ricci Flow

Calabi-Yau structures as `canonical metrics' in generalized Riemannian and complex geometry. The book then introduces generalized Ricci flow as a;

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The Geometry of Walker Manifolds

This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use;

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Equivalence, Invariants and Symmetry

Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an;

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Equivalence, Invariants and Symmetry

Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an;

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Riemann-finsler Geometry

Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications;

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Riemann-finsler Geometry

Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications;

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The Decomposition of Global Conformal Invariants (AM-182)

in 1993 in their study of conformal anomalies. The question concerns conformally invariant functionals on the space of Riemannian metrics over a;

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Decomposition Of Global Conformal Invariants

in 1993 in their study of conformal anomalies. The question concerns conformally invariant functionals on the space of Riemannian metrics over a;

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Introduction To Modern Finsler Geometry

connection, Riemannian and non-Riemannian quantities. Part II is written for readers who would like to further their studies in Finsler geometry. It;

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Introduction To Modern Finsler Geometry

connection, Riemannian and non-Riemannian quantities. Part II is written for readers who would like to further their studies in Finsler geometry. It;

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Curved Spaces

Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved;

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Curved Spaces

Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved;

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An Introduction to Riemannian Geometry

Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general;

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Topics in Extrinsic Geometry of Codimension One Foliations

Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental;

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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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Geometric Analysis

Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the;

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Curvature in Mathematics and Physics

. Based on an advanced class taught by a world-renowned mathematician for more than fifty years, the treatment introduces semi-Riemannian geometry;

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Riemannian Geometry of Contact and Symplectic Manifolds

Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact;

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Metric Rigidity Theorems On Hermitian Locally Symmetric Manifolds

This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact;

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Test Configurations Stabilities and Canonical Kaehler Metrics

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However;

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Riemannian Manifolds and Homogeneous Geodesics

classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with;

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