2 00 8 Mean time exit and isoperimetric inequalities for minimal submanifolds of N × R
نویسندگان
چکیده
Based on Markvorsen and Palmer's work on mean time exit and isoperimetric inequalities we establish slightly better isoperimetric inequalities and mean time exit estimates for minimal submanifolds of N × R. We also prove isoperimetric inequalities for submanifolds of Hadamard spaces with tamed second fundamental form.
منابع مشابه
Isoperimetric inequalities for minimal graphs
Based on Markvorsen and Palmer work on mean time exit and isoperimetric inequalities we establish slightly better isoperimetric inequalities and mean time exit estimates for minimal graphs in N × R. We also prove isoperimetric inequalities for submanifolds of Hadamard spaces with tamed second fundamental form. Mathematics Subject Classification: (2000): Primary 53C42; Secondary 53A10
متن کاملThe Abdus Salam International Centre for Theoretical Physics Isoperimetric Inequalities for Minimal Graphs
Based on Markvorsen and Palmer’s work on mean time exit and isoperimetric inequalities we establish slightly better isoperimetric inequalities and mean time exit estimates for minimal graphs in N ×R. We also prove isoperimetric inequalities for submanifolds of Hadamard spaces with tamed second fundamental form. MIRAMARE – TRIESTE September 2007 Regular Associate of ICTP.
متن کاملTorsional Rigidity of Submanifolds with Controlled Geometry
We prove explicit upper and lower bounds for the torsional rigidity of extrinsic domains of submanifolds P with controlled radial mean curvature in ambient Riemannian manifolds N with a pole p and with sectional curvatures bounded from above and from below, respectively. These bounds are given in terms of the torsional rigidities of corresponding Schwarz symmetrizations of the domains in warped...
متن کاملRICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM
Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form...
متن کاملIsoperimetric-type inequalities for iterated Brownian motion in R
We extend generalized isoperimetric-type inequalities to iterated Brownian motion over several domains in R. These kinds of inequalities imply in particular that for domains of finite volume, the exit distribution and moments of the first exit time for iterated Brownian motion are maximized with the ball D centered at the origin, which has the same volume as D. Mathematics Subject Classificatio...
متن کامل