Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces

Gil Solanes*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

32 Citations (Scopus)

Abstract

We give an integral-geometric proof of the Gauss-Bonnet theorem for hypersurfaces in constant curvature spaces. As a tool, we obtain variation formulas in integral geometry with interest in its own.

Original languageEnglish
Pages (from-to)1105-1115
Number of pages11
JournalTransactions of the American Mathematical Society
Volume358
Issue number3
DOIs
Publication statusPublished - Mar 2006

Keywords

  • Integral geometry
  • Total curvature

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