This text, part of the "Springer Classics in Mathematics" series, looks at transformation groups in differential geometry.
Transformation Groups in Differential Geometry
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About the Author
Biography of Shoshichi Kobayashi Shoshichi Kobayashi was born January 4, 1932 in Kofu, Japan. After obtaining his mathematics degree from the University of Tokyo and his Ph.D. from the University of Washington, Seattle, he held positions at the Institute for Advanced Study, Princeton, at MIT and at the University of British Columbia between 1956 and 1962, and then moved to the University of California, Berkeley, where he is now Professor in the Graduate School. Kobayashi's research spans the areas of differential geometry of real and complex variables, and his numerous resulting publications include several book: Foundations of Differential Geometry with N. Nomizu, Hyperbolic Complex Manifolds and Holomorphic mappings and Differential Geometry of Complex Vector Bundles.
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Inside This Book
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First Sentence:
Let M be a differentiable manifold of dimension n and L(M) the bundle of linear frames over M. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
admissible local coordinate system, largest connected group, infinitesimal affine transformation, closed totally geodesic submanifold, pseudogroup structures, infinitesimal isometry, linear isotropy representation, holomorphic transformations, conformal connections, infinitesimal automorphism, conformal case, holomorphic vector fields, first prolongation, infinitesimal isometries, linear frames, projective structure, absolute parallelism, affine connection, projective case, conformal structure, parallel vector field, infinite type, isotropy subgroup, natural coordinate system, compact complex manifold Key Phrases - Capitalized Phrases (CAPs): (learn more)
Automorphisms of G-Structures, Let Zero, Projectively Induced Holomorphic Transformations, Automorphisms of Complex Manifolds Let New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Let M be a differentiable manifold of dimension n and L(M) the bundle of linear frames over M. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
admissible local coordinate system, largest connected group, infinitesimal affine transformation, closed totally geodesic submanifold, pseudogroup structures, infinitesimal isometry, linear isotropy representation, holomorphic transformations, conformal connections, infinitesimal automorphism, conformal case, holomorphic vector fields, first prolongation, infinitesimal isometries, linear frames, projective structure, absolute parallelism, affine connection, projective case, conformal structure, parallel vector field, infinite type, isotropy subgroup, natural coordinate system, compact complex manifold Key Phrases - Capitalized Phrases (CAPs): (learn more)
Automorphisms of G-Structures, Let Zero, Projectively Induced Holomorphic Transformations, Automorphisms of Complex Manifolds Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 8
books:
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17
books
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- Differential Geometry (Proceedings of Symposia in Pure Mathematics, vol. 27, pt. 2) by Shiing-Shen Chern in Back Matter (1), Back Matter (2), and Back Matter (3)
- Curvature and Homology: Revised Edition by Samuel I. Goldberg in Back Matter
- Topological Methods in Algebraic Geometry (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 131) Second, Corrected Printing of the Third Edition by R. Hirzebruch in Back Matter
- Differential Geometry (Proceedings of Symposia in Pure Mathematics ; V. 54 Part 1, 2, 3) (Pt.1-3) by Robert Greene in Back Matter
- Topological Methods in Algebraic Geometry (Classics in Mathematics) by Friedrich Hirzebruch in Back Matter
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- Total Mean Curvature and Submanifolds of Finite Type (Series in Pure Mathematics) by B-Y Chen in Back Matter
- Differential Geometry: Curves - Surfaces - Manifolds by Wolfgang Kuhnel in Back Matter
- Connections in Classical and Quantum Field Theory by L. Mangiarotti in Back Matter
- Intelligent Agents V. Agents Theories, Architectures, and Languages: 5th International Workshop, ATAL'98, Paris, France, July 4-7, 1998, Proceedings ... Notes in Artificial Intelligence) (v. 5) by Jörg P. Müller on page
- Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) by John M. Lee in Back Matter
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