Kähler immersions of Kähler manifolds into complex space forms. ([2018])

• Record Type: Book
• Further Information: Note: Andrea Loi, Michela Zedda.
• Authors: Loi, Andrea; Zedda, Michela
• Contents: Intro; Preface; Contents; 1 The Diastasis Function; 1.1 Calabi's Diastasis Function; 1.2 Complex Space Forms; 1.3 The Indefinite Hilbert Space; Exercises; 2 Calabi's Criterion; 2.1 Kähler Immersions into the Complex Euclidean Space; 2.2 Kähler Immersions into Nonflat Complex Space Forms; 2.3 Kähler Immersions of a Complex Space Form into Another; Exercises; 3 Homogeneous Kähler Manifolds; 3.1 A Result About Kähler Immersions of Homogeneous Bounded Domains into CP∞; 3.2 Kähler Immersions of Homogeneous Kähler Manifolds into CN≤∞ and CHN≤∞ 3.3 Kähler Immersions of Homogeneous Kähler Manifolds into CPN≤∞3.4 Bergman Metric and Bounded Symmetric Domains; 3.5 Kähler Immersions of Bounded Symmetric Domains into CP∞; Exercises; 4 Kähler-Einstein Manifolds; 4.1 Kähler Immersions of Kähler-Einstein Manifoldsinto CHN or CN; 4.2 Kähler Immersions of KE Manifolds into CPN: The Einstein Constant; 4.3 Kähler Immersions of KE Manifolds into CPN: Codimension 1 and 2; Exercises; 5 Hartogs Type Domains; 5.1 Cartan-Hartogs Domains; 5.2 Bergman-Hartogs Domains; 5.3 Rotation Invariant Hartogs Domains; Exercises; 6 Relatives 6.1 Relatives Complex Space Forms6.2 Homogeneous Kähler Manifolds Are Not Relative to Projective Ones; 6.3 Bergman-Hartogs Domains Are Not Relative to a Projective Kähler Manifold; Exercises; 7 Further Examples and Open Problems; 7.1 The Cigar Metric on C; 7.2 Calabi's Complete and Not Locally Homogeneous Metric; 7.3 The Taub-NUT Metric on C2; Exercises; References; Index
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Copyright Date: 2018
• Extent: 1 online resource
• Subjects: 516.36; Mathematics; Kählerian manifolds; Immersions (Mathematics); Manifolds (Mathematics); MATHEMATICS / Geometry / General; Mathematics -- Mathematical Analysis; Complex analysis, complex variables; Global differential geometry; Differential equations, partial; Mathematics -- Geometry -- Differential; Differential & Riemannian geometry; Electronic books
• Languages: English
• ISBNs: 9783319994833; 3319994832
• Related ISBNs: 9783319994826; 3319994824
• Notes: Note: Includes bibliographical references and index.; Note: Vendor-supplied metadata.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.