Conformally Invariant Metrics and Quasiconformal Mappings, Hariri Parisa, Klйn Riku, Vuorinen Matti

Автор: Todorčevic Vesna
Название: Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics
ISBN: 3030225933 ISBN-13(EAN): 9783030225933
Издательство: Springer
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Описание: The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains.

Автор: Akito Futaki
Название: K?hler-Einstein Metrics and Integral Invariants
ISBN: 3540192506 ISBN-13(EAN): 9783540192503
Издательство: Springer
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Описание: A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kahler-Einstein metric.

Автор: Urakawa, Hajime (tohoku Univ, Japan)
Название: Geometry of biharmonic mappings: differential geometry of variational methods
ISBN: 9813236396 ISBN-13(EAN): 9789813236394
Издательство: World Scientific Publishing
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Описание: 'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers. In the reviewer (TM)s opinion, this excellent monograph will be a basic reference for graduate students and researchers working in the field of differential geometry of variational methods.'zbMATHThe author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry.