Semi-symmetric connections on complex manifold

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.