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: Riemannian GeometryRiemannian Geometry
by - Princeton University Press
The recent physical interpretation of intrinsic differential geometry of spaces has stimulated the study of this subject. Throughout the book constant use is made of the methods of tensor analysis and the Absolute Calculus of Ricci and Levi-Civita.
(890 views)
Book cover: Riemann Surfaces, Dynamics and GeometryRiemann Surfaces, Dynamics and Geometry
by - Harvard University
This course will concern the interaction between: hyperbolic geometry in dimensions 2 and 3, the dynamics of iterated rational maps, and the theory of Riemann surfaces and their deformations. Intended for advanced graduate students.
(8844 views)
Book cover: Lectures on Geodesics in Riemannian GeometryLectures on Geodesics in Riemannian Geometry
by - Tata Institute of Fundamental Research
The main topic of these notes is geodesics. Our aim is to give a fairly complete treatment of the foundations of Riemannian geometry and to give global results for Riemannian manifolds which are subject to geometric conditions of various types.
(4260 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.
(8283 views)