Skip to main content

What is Curvature?

  • Chapter
  • 7968 Accesses

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 176))

Abstract

If you’ve just completed an introductory course on differential geometry, you might be wondering where the geometry went. In most people’s experience, geometry is concerned with properties such as distances, lengths, angles, areas, volumes, and curvature. These concepts, however, are barely mentioned in typical beginning graduate courses in differential geometry; instead, such courses are concerned with smooth structures, flows, tensors, and differential forms.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   64.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   84.95
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag New York, Inc.

About this chapter

Cite this chapter

Lee, J.M. (1997). What is Curvature?. In: Riemannian Manifolds. Graduate Texts in Mathematics, vol 176. Springer, New York, NY. https://doi.org/10.1007/0-387-22726-1_1

Download citation

  • DOI: https://doi.org/10.1007/0-387-22726-1_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98322-6

  • Online ISBN: 978-0-387-22726-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics