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Geometry of Cauchy-Riemann Submanifolds

  • Sorin Dragomir
  • Mohammad Hasan Shahid
  • Falleh R. Al-Solamy

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Bang-Yen Chen
    Pages 27-55
  3. Miroslava Antić, Luc Vrancken
    Pages 57-90
  4. Elisabetta Barletta, Sorin Dragomir
    Pages 91-122
  5. José Luis Cabrerizo, Alfonso Carriazo, Luis M. Fernández
    Pages 123-150
  6. Krishan L. Duggal
    Pages 151-177
  7. Hitoshi Furuhata, Izumi Hasegawa
    Pages 179-215
  8. Adela Mihai, Ion Mihai
    Pages 217-266
  9. Andreea Olteanu
    Pages 267-288
  10. Toru Sasahara
    Pages 289-310
  11. Mohammad Hasan Shahid, Falleh R. Al-Solamy, Mohammed Jamali
    Pages 311-342
  12. Gabriel-Eduard Vîlcu
    Pages 361-390

About this book

Introduction

This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.

Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.

Keywords

CR-submanifolds Kaehler manifold Sasakian manifolds Cauchy–Riemann structure Semi-Riemannian submersions Differential geometry Riemannian geometry

Editors and affiliations

  • Sorin Dragomir
    • 1
  • Mohammad Hasan Shahid
    • 2
  • Falleh R. Al-Solamy
    • 3
  1. 1.Dipartimento di Matematica e InformaticaUniversità degli Studi della BasilicataPotenzaItaly
  2. 2.Dept. of Maths., Faculty of Natural SciJamia Millia Islamia,New DelhiIndia
  3. 3.Department of MathematicsKing Abdul Aziz UniversityThuwalSaudi Arabia

Bibliographic information