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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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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89

construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential;

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Fibre Bundles

gauge group of a bundle and the other on the differential forms representing characteristic classes of complex vector bundles on manifolds.;

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Moduli of Vector Bundles

developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and;

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Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

moduli space of semistable holomorphic vector bundles, and to Hitchin's theory on Higgs bundles. The relationship between the notion of stability;

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Moduli Spaces and Vector Bundles

Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has;

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Differential Geometry of Complex Vector Bundles

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also;

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Differential Geometry of Complex Vector Bundles

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also;

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The Geometry of Jet Bundles

includes a proof of the local exactness of the variational bicomplex. A knowledge of differential geometry is assumed by the author, although;

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Differential Geometry and Lie Groups

This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing;

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Geometry of Differential Forms

concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated in the book is a;

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Lectures On Kahler Geometry

differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kahler manifolds are discussed from the;

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Lectures On Kahler Geometry

differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kahler manifolds are discussed from the;

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Algebraic And Arithmetic Structures Of Moduli Spaces (Sapporo 2007)

of complex vector bundles, moduli of abelian varieties and theory of display, moduli of Fermat varieties and some topics on cubic threefolds. Among;

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Collected Papers of C. S. Seshadri

for GL(2) and applications, Proc. Intern. Colloquium on Algebraic Geometry, Bombay (1968), 347-371. 19. Moduli of vector bundles over an;

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London Mathematical Society Lecture Note Series

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry;

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A Sampler of Riemann-Finsler Geometry

course in graduate-level differential geometry. The contributors consider issues related to volume, geodesics, curvature, complex differential;

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A Sampler of Riemann-finsler Geometry

course in graduate-level differential geometry. The contributors consider issues related to volume, geodesics, curvature, complex differential;

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Mathematical Physics

of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex;

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Geometry Of Physics

This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential;

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Moduli Spaces Of Stable Sheaves On Schemes

geometry, mathematical physics.Masaki Maruyama is one of the pioneers in the theory of algebraic vector bundles on higher dimensional algebraic;

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Vector Bundles and Their Applications

together with mathematieal analysis on manifolds (global anal- ysis and differential geometry) has provided a major stimulus. Its language turned;

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Natural Operations in Differential Geometry

The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential;

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Principal Bundles

non-commutative geometry of principal bundles and their connections in differential geometry. To make for a more self-contained book there;

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Analytic Methods in Algebraic Geometry

somewhat acquainted with the basic concepts of sheaf theory, homological algebra, and complex differential geometry. In the final chapters, some;

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Riemann Surfaces by Way of Complex Analytic Geometry

This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used;

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Differential Geometry with Applications to Mechanics and Physics

An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach;

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