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method of iterated tangents with applications in local Riemannian geometry

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Published by Pitman Advanced Publishing Program in Boston .
Written in English


  • Geometry, Riemannian.,
  • Tangent bundles.,
  • Manifolds (Mathematics)

Book details:

Edition Notes

StatementJ. Enrico White.
SeriesMonographs and studies in mathematics ;, 13
LC ClassificationsQA649 .W48
The Physical Object
Paginationxx, 252 p. :
Number of Pages252
ID Numbers
Open LibraryOL4260216M
ISBN 100273085158
LC Control Number81005845

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Lectures on Geodesics Riemannian Geometry. Aim of this book is to give a fairly complete treatment of the foundations of Riemannian geometry through the tangent bundle and the geodesic flow on it. Topics covered includes: Sprays, Linear connections, Riemannian manifolds, Geodesics, Canonical connection, Sectional Curvature and metric structure. Jul 04,  · Review: Enrico J. White, The method of iterated tangents with applications in local Riemannian geometry Jacobowitz, Howard, Bulletin (New Series) of the American Mathematical Society, ; Sub-Riemannian geometry of parallelizable spheres Godoy Molina, Mauricio and Markina, Irina, Revista Matemática Iberoamericana, Jun 13,  · Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems/5(18). Basic Riemannian Geometry F.E. Burstall Department of Mathematical Sciences University of Bath Introduction My mission was to describe the basics of Riemannian geometry in just three hours of lectures, starting from scratch. The lectures were to provide back-ground for the analytic matters covered elsewhere during the conference and,Cited by: 2.

This book is based on a one-semester course taught since at In-stituto Superior T´ecnico (Lisbon) to mathematics, physics and engineering students. Its aim is to provide a quick introduction to differential geometry, including differential forms, followed by the main ideas of Riemannian geom-. Thus, isometries are studied in Riemannian geometry. A local isometry from one (pseudo-)Riemannian manifold to another is a map which pulls back the metric tensor on the second manifold to the metric tensor on the first. geometry results to derive information about the fine differentiability prop-erties of the distance function and the structure of cut loci in Riemannian geometry. 1 Introduction. Horizons are amongst the most important objects that one encounters in causal-ity theory: Cauchy horizons constitute boundaries beyond which predictability. Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e. with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular, local notions of angle, length of curves, surface area and volume.

geometry which I gave at the University of Leeds Their main purpose is to introduce the beautiful theory of Riemannian geometry, a still very active area of mathematical research. This is a subject with no lack of interesting examples. They are indeed the key to a good understanding of it and will therefore play a major role throughout. tool in differential geometry. Remark If the dimension of M is zero, then M is a countable set equipped with the discrete topology (every subset of M is an open set). If dimM = 1, then M is locally homeomorphic to an open interval; if dimM = 2, then it is locally homeomorphic to . The book begins with an introduction chapter which motivates the pinch-ing problem. A survey of the sphere theorem’s long historical development is discussed as well as possible future applications of the Ricci ow. As with any discussion in di erential geometry, there is always a labyrinth. Buy An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) on FREE SHIPPING on qualified ordersCited by: 5.