New PDF release: Riemannian Manifolds: An Introduction to Curvature (Graduate

By John M. Lee

ISBN-10: 038798271X

ISBN-13: 9780387982717

ISBN-10: 0387983228

ISBN-13: 9780387983226

This textual content makes a speciality of constructing an intimate acquaintance with the geometric that means of curvature and thereby introduces and demonstrates all of the major technical instruments wanted for a extra complicated direction on Riemannian manifolds. It covers proving the 4 such a lot primary theorems referring to curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a unique case of the Cartan-Ambrose-Hicks Theorem.

Show description

Read or Download Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) PDF

Best geometry & topology books

Download e-book for iPad: The Geometry of Higher-Order Hamilton Spaces: Applications by R. Miron

This publication is the 1st to provide an summary of higher-order Hamilton geometry with purposes to higher-order Hamiltonian mechanics. it's a direct continuation of the e-book The Geometry of Hamilton and Lagrange areas, (Kluwer educational Publishers, 2001). It comprises the final thought of upper order Hamilton areas H(k)n, k>=1, semisprays, the canonical nonlinear connection, the N-linear metrical connection and their constitution equations, and the Riemannian nearly touch metrical version of those areas.

Download e-book for iPad: Locally Conformal Kähler Geometry (Progress in Mathematics) by Sorin Dragomir,Liuiu Ornea

. E C, zero '1 . be the O-dimensional Lie n workforce generated by means of the transformation z ~ >. z, z E C - {a}. Then (cf.

Discrete Differential Geometry: 38 (Oberwolfach Seminars) by Alexander I. Bobenko,Peter Schröder,John M. Sullivan,Günter PDF

This is often the 1st ebook on a newly rising box of discrete differential geometry supplying an outstanding method to entry this intriguing region. It presents discrete equivalents of the geometric notions and techniques of differential geometry, comparable to notions of curvature and integrability for polyhedral surfaces.

Recent Advances in Algebraic Geometry (London Mathematical - download pdf or read online

Modern examine in algebraic geometry is the focal point of this assortment, which provides articles on sleek facets of the topic. The record of subject matters coated is a roll-call of a few of crucial and energetic topics during this thriving region of arithmetic: the reader will locate articles on birational geometry, vanishing theorems, complicated geometry and Hodge idea, unfastened resolutions and syzygies, derived different types, invariant concept, moduli areas, and similar subject matters, all written via best specialists.

Extra info for Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics)

Example text

Download PDF sample

Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) by John M. Lee


by Robert
4.3

Rated 4.32 of 5 – based on 16 votes