Skip to main content

Basic Operators in Differential Geometry and Conformal Covariance

  • Chapter
  • First Online:
Conformal Symmetry Breaking Operators for Differential Forms on Spheres

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2170))

  • 749 Accesses

Abstract

In this chapter we collect some elementary properties of basic operators such as the Hodge star operator, the codifferential d*, and the interior multiplication iNY (X) by the normal vector field for hypersurfaces Y in pseudo-Riemannian manifolds X.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight 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

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

© 2016 Springer Nature Singapore Pte Ltd.

About this chapter

Cite this chapter

Kobayashi, T., Kubo, T., Pevzner, M. (2016). Basic Operators in Differential Geometry and Conformal Covariance. In: Conformal Symmetry Breaking Operators for Differential Forms on Spheres. Lecture Notes in Mathematics, vol 2170. Springer, Singapore. https://doi.org/10.1007/978-981-10-2657-7_8

Download citation

Publish with us

Policies and ethics