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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Geometry of CR-Submanifolds and Applications
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Geometry of CR-Submanifolds and Applications
Bang-Yen Chen, Mohammad Hasan Shahid, Gabriel-Eduard Vîlcu (Gebundene Ausgabe, Englisch)
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Beschreibung
This book attempts to present a comprehensive survey of the geometry of CR-submanifolds. The theory of submanifolds is one of the most interesting topics in differential geometry. The topic is introduced by Aurel Bejancu as a generalization of holomorphic and totally real submanifolds of almost Hermitian manifolds, in 1978. Afterward, the study of CR-submanifolds became a very active research… subject. Organized into 22 chapters, the book starts with basic knowledge of Riemannian manifolds and submanifolds, almost Hermitian manifolds and their subclasses, Hopf fibration, symmetric spaces, and a general inequality for submanifolds in complex space forms (in Chaps. 1 and 2). Later, it presents the main results on CR-submanifolds in Kaehler manifolds, the basic inequalities associated with CR-submanifolds in Kaehler manifolds, and several theories and results related to Kaehler manifolds (in Chaps. 3–11). Further, the book discusses the basics of almost-contact metric manifolds and their subclasses, CR-submanifolds of Sasakian, trans-Sasakian and quasi-Sasakian manifolds, with a particular attention on the normal CR-submanifolds (in Chap. 12). It also investigates the contact CR-submanifolds of S-manifolds, the geometry of submersions of CR-submanifolds, and the results on contact CR-warped product submanifolds (in Chaps. 16–18, 20). In Chapter 19, we discuss submersions of CR-submanifolds. The book also presents some recent results concerning CR-submanifolds of holomorphic statistical manifolds. In particular, it gives the classification of totally umbilical CR-statistical submanifolds in holomorphic statistical manifolds, as well as a Chen–Ricci inequality for such submanifolds (Chapter 21). In the last chapter, we present results on CR-submanifolds of indefinite Kaehler manifolds and their applications to physics. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
31.08.2025
Sprache
Englisch
EAN
9789819628179
Herausgeber
Springer Singapore
Serien- oder Bandtitel
Infosys Science Foundation Series in Mathematical Sciences
Sonderedition
Nein
Autor
Bang-Yen Chen, Mohammad Hasan Shahid, Gabriel-Eduard Vîlcu
Seitenanzahl
597
Einbandart
Gebundene Ausgabe
Schlagwörter
differential geometry, submanifolds, CR-submanifolds, Hermitian manifolds, Kahler manifolds, CR-wrapped products, locally conformal manifolds, Sasakian manifolds, statistical manifolds, Lorentzian CR-submanifolds, CR product, generic submanifold, contact CR-submanifold, CR submersion, contact CR warped product, CR statistical submanifold, generic warped product
Thema-Inhalt
PBMP - Differentielle und Riemannsche Geometrie
PBK - Mathematische Analysis, allgemein
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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