Minimality in CR geometry and the CR Yamabe problem on CR manifolds with boundary
نویسندگان
چکیده
منابع مشابه
Minimality in CR geometry and the CR Yamabe problem on CR manifolds with boundary
We study the minimality of an isometric immersion of a Riemannian manifold into a strictly pseudoconvex CR manifold M endowed with the Webster metric (associated to a fixed contact form on M), hence formulate a version of the CR Yamabe problem for CR manifolds-with-boundary. This is shown to be a nonlinear subelliptic problem of variational origin.
متن کاملThe Local Equivalence Problem in Cr Geometry
This article is dedicated to the centenary of the local CR equivalence problem, formulated by Henri Poincaré in 1907. The first part gives an account of Poincaré’s heuristic counting arguments, suggesting existence of infinitely many local CR invariants. Then we sketch the beautiful completion of Poincaré’s approach to the problem in the work of Chern and Moser on Levi nondegenerate hypersurfac...
متن کاملApproximately Holomorphic Geometry for Projective Cr Manifolds
For compact CR manifolds of hypersurface type which embed in complex projective space, we show for all k large enough the existence of linear systems of O(k), which when restricted to the CR manifold are generic in a suitable sense. In general these systems are constructed using approximately holomorphic geometry, but for strictly C-convex hypersurfaces generic degree one pencils are obtained v...
متن کاملTwistor Spinors on Lorentzian Manifolds, Cr-geometry and Feeerman Spaces
The paper deals with twistor spinors on Lorentzian manifolds. In particular , we explain a relation between a certain class of Lorentzian twistor spinors and the Feeerman spaces of strictly pseudoconvex spin manifolds which appear in CR-geometry. Let (M n;k ; g) be a n-dimensional smooth semi-Riemannian spin manifold of index k with the spinor bundle S. There are two conformally covariant diffe...
متن کاملRemarks on the Rigidity of Cr-manifolds
We propose a procedure to construct new smooth CR-manifolds whose local stability groups, equipped with their natural topologies, are subgroups of certain (finitedimensional) Lie groups but not Lie groups themselves.
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: Journal of the Mathematical Society of Japan
سال: 2008
ISSN: 0025-5645
DOI: 10.2969/jmsj/06020363