Differential Geometry by Balazs Csikos

Differential Geometry
by Balazs Csikos

Publisher: Eötvös Loránd University 2010

Description:
Contents: Basic Structures on Rn, Length of Curves; Curvatures of a Curve; Plane Curves; 3D Curves; Hypersurfaces; Surfaces in the 3-dimensional space; The fundamental equations of hypersurface theory; Topological and Differentiable Manifolds; The Tangent Bundle; The Lie Algebra of Vector Fields; Differentiation of Vector Fields; Curvature; Geodesics.