Differential and Riemannian Geometry specializes in the methodologies, calculations, functions, and methods interested in differential and Riemannian geometry.
The booklet first deals details on neighborhood differential geometry of house curves and surfaces and tensor calculus and Riemannian geometry. Discussions concentrate on tensor algebra and research, proposal of a differentiable manifold, geometry of an area with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces.
The manuscript then examines additional improvement and functions of Riemannian geometry and choices from differential geometry within the huge, together with curves and surfaces within the huge, areas of continuing curvature and non-Euclidean geometry, Riemannian areas and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry.
The e-book elaborates on prerequisite theorems of study, in addition to the life and strong point theorem for traditional first-order differential equations and structures of equations and integrability conception for platforms of first-order partial differential equations.
The publication is a invaluable reference for researchers attracted to differential and Riemannian geometry.