Title
Geometry of Submanifolds of Almost rparacontact Riemannian Manifold: A New Approach,Used
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The present text, Submanifolds of Almost rparacontact Manifold, deals with the study of hypersurfaces and submanifolds of almost rparacontact Riemannian manifold with certain connections. The semisymmetric and quarter symmetric connections of nonmetric, metric and semimetric nature with respect to the Riemannian metric play very important role in study of hypersurfaces and submanifolds due to fact that the induced connection on submanifolds and hypersurfaces is of the same type as the connection of the ambient manifold. The characteristic properties of invariant, noninvariant, antiinvariant, totally geodesic and totally umbilical hypersurfaces are discussed and Gauss equation, Weingarten equation and curvature tensor of hypersurfaces and submanifolds are obtained for such connections.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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