The Moment-Weight Inequality and the Hilbert-Mumford Criterion: GIT from the Differential Geometric Viewpoint, Georgoulas Valentina, Robbin Joel W., Salamon Dietmar Arno

Автор: Kim, Kang-tae Hanjin, Lee
Название: Schwarz`s lemma from a differential geometric viewpoint
ISBN: 9814324787 ISBN-13(EAN): 9789814324786
Издательство: World Scientific Publishing
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Описание: Deals with Schwarz`s lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years. This title focuses on its differential geometric developments by several authors. It contains major historic differential geometric generalizations on Schwarz`s lemma.

Автор: Izumiya Shyuichi, Fuster Maria Del Carmen Romero, Ruas Maria Aparecida Soares
Название: Differential Geometry from Singularity Theory Viewpoint
ISBN: 9814590444 ISBN-13(EAN): 9789814590440
Издательство: World Scientific Publishing
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Описание: 'The present book has been enriched by including, in the Notes of each chapter, other aspects and studies on the topics in questions and by providing a wide list of references. The book will be a helpful tool for researchers interested in the field and in particular, in the study of the differential geometry of singular submanifolds of Euclidean and Minkowski spaces.'European Mathematical SocietyDifferential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture some key geometric features of surfaces. It describes the theory of contact and its link with the theory of caustics and wavefronts. It then uses the powerful techniques of these theories to deduce geometric information about surfaces embedded in 3, 4 and 5-dimensional Euclidean spaces. The book also includes recent work of the authors and their collaborators on the geometry of sub-manifolds in Minkowski spaces.

Автор: Mumford, David Fogarty, John Kirwan, Frances
Название: Geometric invariant theory
ISBN: 3642634001 ISBN-13(EAN): 9783642634000
Издательство: Springer
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Описание: This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposition of the geometric aspects of classical theory of polynomial invariants. This new, revised edition is completely updated and enlarged with an additional chapter on the moment map by Professor Frances Kirwan.