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Springer Comparison Finsler Geometry - Mathematics Monograph

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Description

Explore recent developments in comparison geometry and geometric analysis through this professional monograph from Springer. This text focuses on Finsler manifolds, providing a systematic derivation of fundamental geometric and analytic inequalities. By generalizing the weighted Ricci curvature into the Finsler setting, the author provides a comprehensive framework for advanced mathematical study. This book is designed to be an accessible entry point for readers new to the field. It requires only a foundational knowledge of differentiable manifolds to navigate the complex topics presented. The content is organized into three distinct parts, starting with the essential fundamentals of Finsler geometry, including Jacobi fields, curvature tensors, and variation. Whether you are a researcher or a student of mathematical analysis, this monograph offers a clear path into the study of Finslerian structures.

Key Features

Covers recent developments in comparison geometry and geometric analysis specifically for Finsler manifolds.

Provides a systematic derivation of fundamental geometric and analytic inequalities within the Finsler context.

Offers an accessible entry point for new readers by requiring only knowledge of differentiable manifolds.

Organized into three clear parts starting with fundamentals like Jacobi fields and curvature tensors.

Generalizes the weighted Ricci curvature to apply specifically to the Finsler setting.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
10 October 2022
Listed Since
14 September 2022

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