Some submanifolds of almost contact manifolds

Abstract

Differential geometry is a major branch of pure mathematics. A large newlinenumber of mathematicians have worked in this field. Actually in this subject newlinewe study geometric objects with the help of differential calculas. In newlinedifferential geometry we study geometry using curvilinear coordinate system, newlineRiemanian metric, pseudo-Riemanian metric etc. If we want to study newlinedifferential calculas on some geometric objects like sphere, ellipsoid, Mobious newlineband, torus etc., the study will not be so easy due to the non Euclidean newlinenature of the objects. To resolve this problem the study of differentiable newlinemanifolds arise. Moreover a differentiable manifold is a particular type of newlinetopological manifold. In differential geometry the study of manifolds is newlinegeneralized idea of surfaces. There are two different types of geometric newlinestructures on a differentiable manifold, almost contact structure and almost newlinecomplex structure. In this thesis we have studied some different types of newlinesubmanifolds of almost contact manifolds. newline