Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems

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dc.creatorMartino, Vittorio
dc.creatorMontanari, Annamaria
dc.date2007-07-13
dc.date.accessioned2026-07-07T08:17:38Z
dc.date.available2026-07-07T08:17:38Z
dc.descriptionWe prove integral formulas for closed hypersurfaces in C^{n+1}, which furnish a relation between elementary symmetric functions in the eigenvalues of the complex Hessian matrix of the defining function and the Levi curvatures of the hypersurface. Then we follow the Reilly approach to prove an isoperimetric inequality. As an application, we obtain the ``Soap Bubble Theorem'' for star-shaped domains with positive and constant Levi curvatures bounding the classical mean curvature from above.
dc.identifierhttps://arxiv.org/abs/0707.2056
dc.identifierhttp://arxiv.org/abs/0707.2056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134156
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subject35J70
dc.titleIntegral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
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