Geometry of Cauchy-Riemann Submanifolds (PDF)
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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.Mohammad Hasan Shahid is professor at the Department of Mathematics, Jamia Millia Islamia, New Delhi, India. He also served King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia, as associate professor during 2001-2006. He earned his PhD degree at Aligarh Muslim University, India, in 1988. His areas of research are the geometry of CR- submanifolds, Riemannian submersions and tangent bundles. Author of over 60 research papers, he has visited several world universities including, but not limited to, the University of Patras, Greece, (during 1997-1998) under postdoctoral scholarship from State Scholarship Foundation, Greece; the University of Leeds, England (in 1992) to deliver lectures; Ecole Polytechnique, Paris
Falleh R. Al-Solamy is professor of differential geometry at King Abdulaziz University (Jeddah, Saudi Arabia). He studied mathematics at King Abdulaziz University (Jeddah, Saudi Arabia) and earned his Ph.D. at the University of Wales Swansea (Swansea, U.K.) in 1998 under Edwin Beggs. His research interests concern the study of the geometry of submanifolds in Riemannian and semi-Riemannian manifolds, Einstein manifolds, applications of differential geometry in physics. He authored 54 research papers and co/edited 1 book titled, Fixed Point Theory, Variational Analysis, and Optimization. His mathematical orientation over the last 10 years strongly owes to S. Deshmukh (Riyadh, Saudi Arabia), M.H. Shahid (New Delhi, India) and V.A. Khan (Aligarh, India). He is member of the London Mathematical Society, the Institute of Physics, the Saudi Association for Mathematical Sciences, the Tensor Society, the Saudi Computer Society and the American Mathematical Society.
- 2016, 1st ed. 2016, 390 Seiten, Englisch
- Herausgegeben: Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy
- Verlag: Springer-Verlag GmbH
- ISBN-10: 9811009163
- ISBN-13: 9789811009167
- Erscheinungsdatum: 31.05.2016
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