Hermitian–Grassmannian Submanifolds, Young Jin Suh; Yoshihiro Ohnita; Jiazu Zhou; Byung
Автор: V. Lakshmibai; Justin Brown Название: The Grassmannian Variety ISBN: 1493956086 ISBN-13(EAN): 9781493956081 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. Therefore, this text uniquely presents an exciting playing field for graduate students and researchers in mathematics, physics, and computer science, to expand their knowledge in the field of algebraic geometry. The standard monomial theory (SMT) for the Grassmannian varieties and their Schubert subvarieties are introduced and the text presents some important applications of SMT including the Cohen-Macaulay property, normality, unique factoriality, Gorenstein property, singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory.
This text would serve well as a reference book for a graduate work on Grassmannian varieties and would be an excellent supplementary text for several courses including those in geometry of spherical varieties, Schubert varieties, advanced topics in geometric and differential topology, representation theory of compact and reductive groups, Lie theory, toric varieties, geometric representation theory, and singularity theory. The reader should have some familiarity with commutative algebra and algebraic geometry.
Автор: Berndt Название: Submanifolds and Holonomy, Second Edition ISBN: 1482245159 ISBN-13(EAN): 9781482245158 Издательство: Taylor&Francis Рейтинг: Цена: 24499.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.
New to the Second Edition
New chapter on normal holonomy of complex submanifolds
New chapter on the Berger-Simons holonomy theorem
New chapter on the skew-torsion holonomy system
New chapter on polar actions on symmetric spaces of compact type
New chapter on polar actions on symmetric spaces of noncompact type
New section on the existence of slices and principal orbits for isometric actions
New subsection on maximal totally geodesic submanifolds
New subsection on the index of symmetric spaces
The book uses the reduction of codimension, Moore's lemma for local splitting, and the normal holonomy theorem to address the geometry of submanifolds. It presents a unified treatment of new proofs and main results of homogeneous submanifolds, isoparametric submanifolds, and their generalizations to Riemannian manifolds, particularly Riemannian symmetric spaces.
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 Рейтинг: Цена: 7128.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.
Автор: Mirjana Djoric; Masafumi Okumura Название: CR Submanifolds of Complex Projective Space ISBN: 1461424771 ISBN-13(EAN): 9781461424772 Издательство: Springer Рейтинг: Цена: 16070.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text begins with an introduction to complex differential geometry and the properties of complex manifolds. It then describes the properties of hypersurfaces of various complex spaces and CR manifolds, emphasizing CR submanifolds of maximal CR dimension.
Автор: Arkani-Hamed Название: Grassmannian Geometry of Scattering Amplitudes ISBN: 1107086582 ISBN-13(EAN): 9781107086586 Издательство: Cambridge Academ Рейтинг: Цена: 10930.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An essential resource examining the ongoing revolution in our understanding of perturbative quantum field theory and its connection to Grassmannian geometry. This book outlines the foundations of this important new formulation, with a self-contained and authoritative analysis of its application to planar maximally supersymmetric Yang-Mills theory.
Автор: Young Jin Suh; J?rgen Berndt; Yoshihiro Ohnita; By Название: Real and Complex Submanifolds ISBN: 4431552146 ISBN-13(EAN): 9784431552147 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Dragomir Название: Geometry of Cauchy-Riemann Submanifolds ISBN: 9811009155 ISBN-13(EAN): 9789811009150 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.
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 Рейтинг: Цена: 14414.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.
Описание: Written with a two-fold approach in mind, this book adds to the theory of submanifolds, the missing part of lightlike (degenerate) submanifolds of semi-Riemannian manifolds, and applies relevant mathematical results to branches of physics. It is useful to graduate students, research assistants and faculty working in geometry and physics.
Автор: Wolfgang K?hnel Название: Tight Polyhedral Submanifolds and Tight Triangulations ISBN: 354060121X ISBN-13(EAN): 9783540601210 Издательство: Springer Рейтинг: Цена: 3766.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is an introduction and a monograph about tight polyhedra. Particular emphasis is given to the interplay of varius special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes.
Автор: K. Kenmotsu Название: Differential Geometry of Submanifolds ISBN: 3540138730 ISBN-13(EAN): 9783540138730 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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