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: 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.
(9176 views)
Book cover: A Panoramic View of Riemannian GeometryA Panoramic View of Riemannian Geometry
by - Springer
In this monumental work, Marcel Berger manages to survey large parts of present day Riemannian geometry. The book offers a great opportunity to get a first impression of some part of Riemannian geometry, together with hints for further reading.
(6656 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.
(2801 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.
(9177 views)