Isoperimetric inequalities & volume comparison theorems on CR manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 2, p. 279-307
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.
Classification:  32V20,  32V05,  53C17,  53C21
@article{ASNSP_2009_5_8_2_279_0,
author = {Chanillo, Sagun and Yang, Paul},
title = {Isoperimetric inequalities \& volume comparison theorems on CR manifolds},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 8},
number = {2},
year = {2009},
pages = {279-307},
zbl = {1176.32014},
mrnumber = {2548248},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2009_5_8_2_279_0}
}

Chanillo, Sagun; Yang, Paul. Isoperimetric inequalities & volume comparison theorems on CR manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 2, pp. 279-307. http://www.numdam.org/item/ASNSP_2009_5_8_2_279_0/

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