Isoperimetric inequalities & volume comparison theorems on cr manifolds

Sagun Chanillo, Paul C. Yang

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


In this article we study the Jacobi equation associated with the geodesics in a pseudo-hermitian manifold wish vanishing Webster torsion. We develop integral geometric formula generalizing the well known Santalo formula in Riemannian geometry. As applications we obtain volume comparison results under suitable curvature assumptions as well as isoperimetric inequalities for domains in such manifolds.

Original languageEnglish (US)
Pages (from-to)279-307
Number of pages29
JournalAnnali della Scuola Normale - Classe di Scienze
Issue number2
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Mathematics (miscellaneous)


Dive into the research topics of 'Isoperimetric inequalities & volume comparison theorems on cr manifolds'. Together they form a unique fingerprint.

Cite this