Lecture Notes on Mean Curvature Flow, Carlo Mantegazza

Автор: Chen Bang-Yen
Название: Total Mean Curvature and Submanifolds of Finite Type: 2nd Edition
ISBN: 9814616699 ISBN-13(EAN): 9789814616690
Издательство: World Scientific Publishing
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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

Автор: Chen Bang-Yen
Название: Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition)
ISBN: 9814616680 ISBN-13(EAN): 9789814616683
Издательство: World Scientific Publishing
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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

Автор: Bridson Martin R., Haefliger AndrГ©
Название: Metric spaces of non-positive curvature
ISBN: 3540643249 ISBN-13(EAN): 9783540643241
Издательство: Springer
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Описание: A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. Part I provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds.

Автор: Brakke Kenneth a.
Название: The Motion of a Surface by Its Mean Curvature. (MN-20):
ISBN: 0691611513 ISBN-13(EAN): 9780691611518
Издательство: Wiley
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Описание: Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.

Автор: Han Fei Et Al
Название: Geometric Analysis Around Scalar Curvatures
ISBN: 9813100540 ISBN-13(EAN): 9789813100541
Издательство: World Scientific Publishing
Цена: 13939.00 р.
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Описание:

This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that was held at the Institute for Mathematical Sciences from 1 November to 31 December 2014. The first chapter surveys the recent developments on the fourth-order equations with negative exponent from geometric points of view such as positive mass theorem and uniqueness results. The next chapter deals with the recent important progress on several conjectures such as the existence of non-flat smooth hyper-surfaces and Serrin's over-determined problem. And the final chapter induces a new technique to handle the equation with critical index and the sign change coefficient as well as the negative index term. These topics will be of interest to those studying conformal geometry and geometric partial differential equations.