| Description |
1 online resource (230 p.) |
| Series |
Infosys Science Foundation Series |
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Infosys ScienceFoundation series in mathematical sciences |
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Infosys Science Foundation series.
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Infosys Science Foundation series. Mathematical sciences.
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| Contents |
Intro -- Preface -- Contents -- Recent Developments on Chen-Ricci Inequalities in Differential Geometry -- 1 Introduction -- 2 Preliminaries -- 2.1 Basic on Riemannian Manifolds -- 2.2 Basic on Riemannian Submanifolds -- 2.3 Submanifolds of Kähler Manifolds -- 2.4 H-Umbilical Submanifolds -- 3 Chen-Ricci Inequalities for Submanifolds in Riemannian Manifolds -- 4 Chen-Ricci Inequalities for Submanifolds in Manifolds of Quasi-constant Curvature -- 5 Chen-Ricci Inequalities for Real Space Forms with Non-symmetric Connections |
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6 Chen-Ricci Inequalities for Totally Real and Lagrangian Submanifolds in Complex Space Forms -- 6.1 Totally Real Submanifolds of Complex Space Forms -- 6.2 Lagrangian Submanifolds of Complex Space Forms -- 6.3 Submanifolds of Complex Space Forms with Non-symmetric Metric Connections -- 7 Chen-Ricci Inequalities for Slant Submanifolds -- 7.1 Slant Submanifolds of Complex Space Forms -- 7.2 Slant Submanifolds of Generalized Complex Space Forms -- 8 Chen-Ricci Inequalities for Some Special Submanifolds in Kähler and Nearly Kähler Manifolds -- 8.1 Real Hypersurfaces of Complex Space Forms |
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8.2 Real Hypersurfaces of Complex Hyperbolic Spaces -- 8.3 CR-Submanifolds -- 8.4 Submanifolds of Bochner-Kähler Manifolds -- 9 Submanifolds of Locally Conformal Kähler Manifolds -- 10 Quaternionic Kähler Manifolds -- 11 Chen-Ricci Inequalities for Submanifolds in Quaternionic Space Forms -- 11.1 Submanifolds in Quaternionic Space Forms -- 11.2 k-Ricci Inequalities for Submanifolds in Quaternionic Space Forms -- 11.3 Submanifolds of Quaternionic Space Forms with Semi-symmetric Connection -- 12 Almost Contact Metric, Sasakian and Kenmotsu Manifolds |
| Summary |
This book features chapters written by renowned scientists from various parts of the world, providing an up-to-date survey of submanifold theory, spanning diverse topics and applications. The book covers a wide range of topics such as ChenRicci inequalities in differential geometry, optimal inequalities for Casorati curvatures in quaternion geometry, conformal -RicciYamabe solitons, submersion on statistical metallic structure, solitons in f(R, T)-gravity, metric-affine geometry, generalized Wintgen inequalities, tangent bundles, and Lagrangian submanifolds. Moreover, the book showcases the latest findings on Pythagorean submanifolds and submanifolds of four-dimensional f-manifolds. The chapters in this book delve into numerous problems and conjectures on submanifolds, providing valuable insights for scientists, educators, and graduate students looking to stay updated with the latest developments in the field. With its comprehensive coverage and detailed explanations, this book is an essential resource for anyone interested in submanifold theory |
| Notes |
20.2 CR-Statistical Submanifolds of Holomorphic Statistical Manifolds |
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Online resource; title from PDF title page (SpringerLink, viewed April 9, 2024) |
| Subject |
Submanifolds.
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| Form |
Electronic book
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| Author |
Chen, Bang-Yen
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Choudhary, Majid Ali
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Khan, Mohammad Nazrul Islam
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| ISBN |
9789819997503 |
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981999750X |
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