A relative isoperimetric inequality for certain warped product spaces
نویسندگان
چکیده
منابع مشابه
Relative Isoperimetric Inequality for Minimal Submanifolds in a Riemannian Manifold
Let Σ be a domain on an m-dimensional minimal submanifold in the outside of a convex set C in S or H. The modified volume M Σ is introduced by Choe and Gulliver 1992 and we prove a sharp modified relative isoperimetric inequality for the domain Σ, 1/2 mωmM Σ m−1 ≤ Volume ∂Σ−∂C , where ωm is the volume of the unit ball of R. For any domain Σ on a minimal surface in the outside convex set C in an...
متن کاملS-inequality for certain product measures
In the paper we prove the S-inequality for certain product probability measures and ideals in Rn. As a result, for the Weibull and Gamma product distributions we derive concentration of measure type estimates as well as optimal comparison of moments. 2010 Mathematics Subject Classification. Primary 60G15; Secondary 60E15.
متن کاملWillmore-chen Tubes on Homogeneous Spaces in Warped Product Spaces
We present a new method to obtain Willmore-Chen submanifolds in spaces endowed with warped product metrics and fibers being a given homogeneous space. The main points are: First the invariance of the variational problem of WillmoreChen with respect to the conformal changes in the ambient space metric. Second, the principle of symmetric criticality which allows us to relate the problem with that...
متن کاملA Quantitative Isoperimetric Inequality for Fractional Perimeters
Recently Frank & Seiringer have shown an isoperimetric inequality for nonlocal perimeter functionals arising from Sobolev seminorms of fractional order. This isoperimetric inequality is improved here in a quantitative form.
متن کاملA Generalized Affine Isoperimetric Inequality
A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-Santalo inequality and the affine isoperimetric inequality of affine differential geometry.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Geometry
سال: 2012
ISSN: 1615-7168,1615-715X
DOI: 10.1515/advgeom-2012-0012