ar X iv : 0 80 4 . 34 08 v 1 [ m at h . A P ] 2 1 A pr 2 00 8 SMOOTHNESS OF LIPSCHITZ MINIMAL INTRINSIC GRAPHS IN HEISENBERG GROUPS
نویسنده
چکیده
We prove that Lipschitz intrinsic graphs in the Heisenberg groups H , with n > 1, which are vanishing viscosity solutions of the minimal surface equation are smooth.
منابع مشابه
ar X iv : 0 80 4 . 34 06 v 1 [ m at h . A P ] 2 1 A pr 2 00 8 REGULARITY OF NON - CHARACTERISTIC MINIMAL GRAPHS IN THE HEISENBERG GROUP
Minimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of a Riemannian approximation scheme, as limit of Riemannian minimal surfaces. We study the regularity of Lipschitz, non-characteristic minimal surfaces which arise as such limits. Our main results are a-priori estimates on the solutions of the approximating Riemannian PDE and the ensuing C∞ regularity of the su...
متن کاملar X iv : 0 80 4 . 22 27 v 1 [ m at h . A G ] 1 4 A pr 2 00 8 On equations of double planes with p g = q = 1
This paper describes how to compute equations of plane models of minimal Du Val double planes of general type with pg = q = 1 and K = 2, . . . , 8. A double plane with K = 8 having bicanonical map not composed with the associated involution is also constructed. The computations are done using the algebra system Magma. 2000 Mathematics Classification: 14J29, 14Q05.
متن کاملar X iv : 0 90 4 . 31 78 v 1 [ m at h . FA ] 2 1 A pr 2 00 9 TREE METRICS AND THEIR LIPSCHITZ - FREE SPACES
We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of L1.
متن کاملar X iv : 0 80 4 . 40 12 v 1 [ m at h . D G ] 2 4 A pr 2 00 8 WHICH AMBIENT SPACES ADMIT
We give simple conditions on an ambient manifold that are necessary and sufficient for isoperimetric inequalities to hold.
متن کاملar X iv : 0 80 6 . 08 36 v 1 [ m at h . A G ] 4 J un 2 00 8 p - ADIC HURWITZ NUMBERS
We introduce stable tropical curves, and use these to count covers of the p-adic projective line of fixed degree and ramification types by Mumford curves in terms of tropical Hurwitz numbers. Our counts depend on the branch loci of the covers.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008