American Mathematical Society;Providence, Rhode Island: American Mathematical Society
摘要:
摘要： The problem of the local summability of the sub-Riemannian mean curvature H\mathcal H of a hypersurface MM in the Heisenberg group, or in more general Carnot groups, near the characteristic set of MM arises naturally in several questions in geometric measure theory. We construct an example which shows that the sub-Riemannian mean curvature H\mathcal H of a C2C^2 surface MM in the Heisenberg group H1\mathbb H^1 in general fails to be integrable with respect to the Riemannian volume on MM. 其他題名： Proc. Amer. Math. Soc 出版者： Providence, Rhode Island: American Mathematical Society 出版日期： 2012-03-01 出處： Proceedings of the American Mathematical Society, 2012-03, Vol.140 (3), p.811-821 資源來源： American Mathematical Society Journals 版權： Copyright 2011 American Mathematical Society 版權： 2012 American Mathematical Society 識別號： ISSN: 0002-9939 識別號： ISSN: 1088-6826 識別號： EISSN: 1088-6826 識別號： DOI: 10.1090/S0002-9939-2011-11058-X
