Logo

Riemannian Geometry by Richard L. Bishop

Small book cover: Riemannian Geometry

Riemannian Geometry
by

Publisher: arXiv
Number of pages: 67

Description:
These notes on Riemannian geometry use the bases bundle and frame bundle, as in Geometry of Manifolds, to express the geometric structures. It has more problems and omits the background material. It starts with the definition of Riemannian and semi-Riemannian structures on manifolds. Affine connections, geodesics, torsion and curvature, the exponential map, and the Riemannian connection follow quickly.

Home page url

Download or read it online for free here:
Download link
(580KB, PDF)

Download mirrors:
Mirror 1

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.
(5834 views)
Book cover: An Introduction to Riemannian GeometryAn Introduction to Riemannian Geometry
by - Lund University
The main purpose of these lecture notes is to introduce the beautiful theory of Riemannian Geometry. Of special interest are the classical Lie groups allowing concrete calculations of many of the abstract notions on the menu.
(11187 views)
Book cover: Riemannian Submanifolds: A SurveyRiemannian Submanifolds: A Survey
by - arXiv
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.
(4701 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.
(10681 views)