Logo

Riemannian Submanifolds: A Survey

Small book cover: Riemannian Submanifolds: A Survey

Riemannian Submanifolds: A Survey
by

Publisher: arXiv
Number of pages: 272

Description:
Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. In this book, the author provides a broad review of Riemannian submanifolds in differential geometry.

Home page url

Download or read it online for free here:
Download link
(1.5MB, PDF)

Similar books

Book cover: Holonomy Groups in Riemannian GeometryHolonomy Groups in Riemannian Geometry
by - arXiv
The holonomy group is one of the fundamental analytical objects that one can define on a Riemannian manfold. These notes provide a first introduction to the main general ideas on the study of the holonomy groups of a Riemannian manifold.
(9927 views)
Book cover: An Introduction to Riemannian Geometry with Applications to Mechanics and RelativityAn Introduction to Riemannian Geometry with Applications to Mechanics and Relativity
by
Contents: Differentiable Manifolds; Differential Forms; Riemannian Manifolds; Curvature; Geometric Mechanics; Relativity (Galileo Spacetime, Special Relativity, The Cartan Connection, General Relativity, The Schwarzschild Solution).
(11180 views)
Book cover: A Course in Riemannian GeometryA Course in Riemannian Geometry
by - Trinity College, Dublin
From the table of contents: Smooth Manifolds; Tangent Spaces; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; Jacobi Fields.
(13318 views)
Book cover: A Sampler of Riemann-Finsler GeometryA Sampler of Riemann-Finsler Geometry
by - Cambridge University Press
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles.
(16104 views)