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Riemannian Geometry, Fibre Bundles, Kaluza-Klein Theories and All That...

This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian;

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Analysis on Manifolds and Fibre Bundles

The aim of this book is to acquaint students with the basic concepts of the subject to help them in their studies of Riemannian geometry;

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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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Fibre Bundles

Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate;

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Space-time-matter

Albert Einstein, together with Theodor Kaluza and Oskar Klein, realized that extra dimensions can be used to unify the different fields;

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The Topology of Fibre Bundles. (PMS-14), Volume 14

Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This;

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Foundations of Differential Geometry, Volume 1

bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems;

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Foundations of Differential Geometry, Volume 2

bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems;

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Foundations of Differential Geometry Set

brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections;

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Mathematical Physics

differential geometry and gauge theories. This second edition is a substantial revision with a complete rewriting of many chapters and the addition;

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Lectures On Kahler Geometry

point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kahler;

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Lectures On Kahler Geometry

point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kahler;

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Synthetic Geometry Of Manifolds

constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric;

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Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

presented within. Among the themes illustrated in the book are differentiable manifolds, differential forms, fiber bundles and differential geometry;

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Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

presented within. Among the themes illustrated in the book are differentiable manifolds, differential forms, fiber bundles and differential geometry;

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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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Gauge Symmetries and Fibre Bundles

Gauge Symmetries and Fibre Bundles is een boek van A. P. Balachandran;

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Manifolds Tensorsnd Forms

cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and;

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Differential Geometry

Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid;

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An Introduction to Noncommutative Differential Geometry and its Physical Applications

Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fibre bundles is assumed, making this book accessible;

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Algorithmic Advances in Riemannian Geometry and Applications

geometry of data using the mathematical machinery of Riemannian geometry. As demonstrated by all the chapters in the book, when the data;

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Encyclopedia of Mathematics and its Applications

method that is novel in this context. The authors then present examples and applications, showing how Heisenberg manifolds (step 2 sub-Riemannian;

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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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Differential Geometry and Lie Groups

Riemannian manifolds. An exploration of bundles follows, from definitions to connections and curvature in vector bundles, culminating in a glimpse;

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Riemannian Geometry of Contact and Symplectic Manifolds

manifolds. Researchers, mathematicians, and graduate students in contact and symplectic manifold theory and in Riemannian geometry will benefit from;

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The Geometry of Walker Manifolds

between the geometry of Riemannian manifolds and the geometry of pseudo-Riemannian manifolds and thereby illustrate phenomena in pseudo-Riemannian;

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