Semi-symmetric connections on complex manifold von Braj Bhushan Chaturvedi

This book contains the study of complex manifolds equipped with semi-symmetric connections. The first chapter contains basic definitions related with manifolds theory and a brief account of the Historical Development, Topological manifolds, Differentiable Manifolds, Riemannian manifolds, Finsler manifolds, Lie groups, Linear Connections, Curvature tensors, Complex manifolds, Almost complex manifolds, Generalized quasi-Einstein manifolds, Almost contact manifolds etc. The second chapter is based on the study of recurrences with respect to a semi-symmetric metric connection on an almost Hermite manifold. The third chapter is concerned with semi-symmetric metric connection on a 4-dimensional almost Hermitian manifold of pointwise constant anti¿ holomorphic sectional curvature. In the fourth chapter some useful discussion and results are given for semi-symmetric metric and non - metric connection on a Kähler manifold. The fifth is devoted to Kähler manifold with a special type of semi-symmetric non-metric connection. In the last chapter some results for an almost Hermitian manifold with semi-symmetric recurrent connection has been derived.

Dr. B. B. Chaturvedi is working as an Assistant Professor in the Department of Pure and Applied Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh India. He has completed his D.Phil. Degree from University of Allahabad, India. He has Published 15 research paper in refereed journal.