Jump to ContentJump to Main Navigation
Differential GeometryBundles, Connections, Metrics and Curvature$
Users without a subscription are not able to see the full content.

Clifford Henry Taubes

Print publication date: 2011

Print ISBN-13: 9780199605880

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199605880.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 22 October 2021

Smooth manifolds

Smooth manifolds

(p.1) 1 Smooth manifolds
Differential Geometry

Clifford Henry Taubes

Oxford University Press

This chapter examines smooth manifolds. It first outlines the two theorems that govern various constructions of smooth manifolds: the inverse function theorem and the implicit function theorem. It then discusses submanifolds of ℝm; submanifolds of manifolds; ways to obtain new manifolds from old ones; and the Grassmannians.

Keywords:   inverse function theorem, implicit function theorem, submanifolds, Grassmannians

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .