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Geometry of CR-Submanifolds and Applications

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 Herm...

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Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Chen, Bang-Yen (Údar), Shahid, Mohammad Hasan (Údar), Vîlcu, Gabriel-Eduard (Údar)
Údar corparáideach: SpringerLink (Online service)
Formáid: Leictreonach Ríomhleabhar
Teanga:Béarla
Foilsithe / Cruthaithe: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Eagrán:1st ed. 2025.
Sraith:Infosys Science Foundation Series in Mathematical Sciences,
Ábhair:
Geometry, Differential.
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential Geometry.
Global Analysis and Analysis on Manifolds.
Rochtain ar líne:https://doi.org/10.1007/978-981-96-2818-6
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Clár na nÁbhar:
  • Chapter 1 Basics on Manifolds and Submanifolds
  • Chapter 2 Basics on almost Hermitian manifolds and their subclasses
  • Chapter 3 CR-submanifolds of K¨ahler manifolds
  • Chapter 4 Inequalities for CR-submanifolds in Kähler manifolds
  • Chapter 5 CR-warped products in Kähler manifolds
  • Chapter 6 CR-submanifolds of locally conformal Kähler manifolds
  • Chapter 7 CR-submanifolds of quaternion Kähler manifolds
  • Chapter 8 CR-submanifolds of nearly Kähler manifolds
  • Chapter 9CR-submanifolds of quasi-Kähler manifolds
  • Chapter 10 Generic submanifolds of nearly Kähler manifolds
  • Chapter 11 Generic submanifold of locally conformal Kähler manifolds
  • Chapter 12 Basics of almost contact metric manifolds and their subclasses
  • Chapter 13 Contact CR-submanifolds of trans-Sasakian manifolds
  • Chapter 14 CContact CR-submanifolds of nearly Sasakian manifolds
  • Chapter 15. Contact CR-submanifolds of nearly trans-Sasakian manifolds
  • Chapter 16 Contact CR-submanifolds of quasi-Sasakian manifolds
  • Chapter 17 Contact CR-submanifolds of 𝑺-manifolds
  • Chapter 18. Generic submanifolds of manifolds equipped with almost contactmetric structures
  • Chapter 19. Submersion of CR-submanifolds
  • Chapter 20 Contact CR-warped product submanifolds
  • Chapter 22CR-submanifolds of indefinite K¨ahler manifolds and applications.

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