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VDM Verlag Mean Curvature Flow and Hamiltonian Diffeomorphisms - Mathematics

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Description

Explore the mathematical foundations of mean curvature flow and its applications to Hamiltonian diffeomorphisms in this comprehensive academic text. Mean curvature flow serves as a powerful analytical technique bridging differential geometry and topology, proving invaluable for identifying volume-minimising submanifolds and establishing mappings between manifolds with desirable geometric properties. The mean curvature flow method is extensively employed in studying isotopy types within diffeomorphism groups, yielding significant contributions to symplectic topology. Published by Scholars' Press through VDM Verlag, this work examines how mean curvature flow functions as a connecting tool between analytical and geometric perspectives, with particular emphasis on its role in modern differential topology and the theoretical underpinnings of Hamiltonian systems.

Key Features

Covers mean curvature flow as a fundamental technique for analysing volume-minimising submanifolds in differential geometry.

Explores the application of mean curvature flow methods to isotopy classification and the study of diffeomorphism groups.

Examines connections between analytical methods and geometric properties through the mean curvature flow framework.

Addresses Hamiltonian diffeomorphisms and their relationship to symplectic topology using mean curvature flow theory.

Published by Scholars' Press and VDM Verlag, offering academic expertise in advanced mathematics.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
22 December 2013
Listed Since
23 December 2013

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