Principles of Differential Geometry

Hypercovers in Differential Geometry

This book contains below topics, Sites and Sheaves, Simplicial Presheaves, Strict Hypercompleteness, The Plus Construction, Applications, Augmented and Truncated Simplicial Presheaves, Verdier Sites, Matching Verdier Sites, Lurie s Lemma, Homotopical Categories, Some History.

Author(s): Cheyne Glass, Emilio Minichiello

60 Pages

Course of differential geometry

This book contains below topics, CHAPTER CUR VES IN THREEDIMENSIONAL SPACE, The length integral and the natural parametrization of a c urve, Curves as trajectories of material points in mechanics, CHAPTER ELEMENTS OF VECTORIAL AND TENSORIAL ANALYSIS, Vectorial and tensorial elds in the space, Tensor product and contraction, The algebra of tensor elds, Symmetrization and alternation, Dierentiation of tensor elds, The metric tensor and the volume pseudotensor, The properties of pseudotensors.

Author(s): Ruslan Sharipov

132 Pages

Principles of Differential Geometry

The present text is a collection of notes about differential geometry prepared to some extent as part of tutorials about topics and applications related to tensor calculus. This book contains below topics, Preliminaries, Curves in Space, Surfaces in Space, Curvature, Special Types of Curve, Special Types of Surface, Tensor Differentiation.

Author(s): Taha Sochi

161 Pages

Lecture Notes in Lie Groups

This note contains below topics, Preliminaries Sets Maps and Diagrams, Groups, Manifolds, Lie Groups, Some Classical Examples of Lie Groups, Medical Applications Prediction of Injuries.

Author(s): Vladimir G. Ivancevic, Tijana T. Ivancevic

74 Pages

Differential Geometry by Rui Loja Fernandes

This note covers the following topics, Manifolds as subsets of Euclidean space, Abstract Manifolds, Tangent Space and the Differential, Embeddings and Whitneys Theorem, The de Rham Theorem, Lie Theory, Differential Forms, Fiber Bundles.

Author(s): Rui Loja Fernandes

NA Pages

Discrete Differential Geometry

This note covers the following topics, Discrete Curves, Curves and curvature, Flows on curves, Elastica, Darboux transforms, Discrete Surfaces, Abstract discrete surfaces, Polyhedral surfaces and piecewise flat surfaces, Discrete cotan Laplace operator, Delaunay tessellations, Line congruences over simplicial surfaces, Polyhedral surfaces with parallel Gauss map, Willmore energy.

Author(s): Alexander I. Bobenko

144 Pages

Elementary Differential Geometry Curves and Surfaces

The purpose of this course note is the study of curves and surfaces, and those are in general, curved. The book mainly focus on geometric aspects of methods borrowed from linear algebra, proofs will only be included for those properties that are important for the future development.

Author(s): Asst. Prof. Martin Raussen

160 Pages

Differential Geometry Of Three Dimensions

This book describes the fundamentals of metric differential geometry of curves and surfaces.

Author(s): C. E Weatherburn

280 Pages