Geometry of Cauchy-Riemann Submanifolds

Chapter 1. CR-warped submanifolds in Kaehler manifolds.- Chapter 2. CR Submanifolds and -invariants.- Chapter 3. CR Submanifolds of the nearly Kahler 6-sphere.- Chapter 4. CR submanifolds of Hermitian manifolds and the tangential C-R equations.- Chapter 5. CR Submanifolds in (l.c.a.) Kaehler and S-manifolds.- Chapter 6. Lorentzian geometry and CR submanifolds.- Chapter 7. Submanifolds in holomorphic statistical manifolds.- Chapter 8. CR Submanifolds in complex and Sasakian space forms.- Chapter 9. CR-Doubly warped product submanifolds.- Chapter 10. Ideal CR submanifolds.- Chapter 11. Submersions of CR submanifolds.- Chapter 12. CR Submanifolds of semi-Kaehler manifolds.- Chapter 13. Paraquaternionic CR submanifolds.

Sorin Dragomir is professor of mathematical analysis at the Università degli Studi della Basilicata (Potenza, Italy). He studied mathematics at the Universitatea din Bucuresti (Bucharest) under S. Ianus, D. Smaranda, I. Colojoara, M. Jurchescu and K. Teleman, and earned his Ph.D. at Stony Brook University (New York) in 1992 under Denson C. Hill. His research interests concern the study of the tangential Cauchy-Riemann equations, the interplay between the Kählerian geometry of pseudoconvex domains and the pseudohermitian geometry of their boundaries, the impact of subelliptic theory on CR geometry, the applications of CR geometry to space-time physics. He authored over 140 research papers and 4 monographs. His wider interests regard the development and dissemination of both western and eastern mathematical sciences. An Italian citizen since 1991, he was born in Romania, and has solid cultural roots in Romanian mathematics, while his mathematical orientation over the last 10 years strongly owes to H. Urakawa (Sendai, Japan), E. Lanconelli (Bologna, Italy), J.P. D'Angelo (Urbana-Champaign, U.S.A.) and H. Jacobowitz (Camden, U.S.A.). He is member of Unione Matematica Italiana, American Mathematical Society, and Mathematical Society of Japan.

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;