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£125.00

World Scientific Publishing Company World Scientific Differential Geometry of Warped Product Manifolds

Name: World Scientific Differential Geometry of Warped Product Manifolds
Brand: World Scientific Publishing Company
Price: 125.0 GBP
Availability: InStock

Geometry & Topology

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Description

Explore the complex mathematical landscape of Riemannian and pseudo-Riemannian manifolds with this specialized text from World Scientific Publishing Company. This book focuses on warped product manifolds, where the metric tensor decomposes into a Cartesian product of y geometry and x geometry, with the x-part rescaled by a scalar function of the other coordinates. Understanding these structures is essential for advanced studies in geometry and mathematical physics. The text covers how these manifolds serve as the foundation for many fundamental solutions in general relativity. By studying these concepts, readers gain insight into the mathematical frameworks that define the Schwarzschild solution and the Robertson-Walker models. This volume is a necessary resource for researchers and students working with the Einstein field equations and the geometric properties of space-time models.

Key Features

Covers Riemannian and pseudo-Riemannian manifold theory through the lens of warped product structures.

Provides mathematical foundations for understanding how metric tensors decompose via scalar function rescaling.

Explains the application of warped product manifolds within the field of mathematical physics.

Connects geometric theory to general relativity and the Einstein field equations.

Includes study of essential models such as the Schwarzschild solution and Robertson-Walker models.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9813208929
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 30 July 2017
Listed Since: 07 February 2017

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World Scientific Publishing Company World Scientific Differential Geometry of Warped Product Manifolds

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