Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Weakly Pseudoconvex Cr Manifolds of Dimension 3

Let M be a compact, COO CR manifold of dimension 3 over R. Associated to the CR structure is a first-order differential operator, Db' on M. We study the regularity properties, in terms of L P Sobolev and Holder norms, of the equation Db u = f. M is said to be CR if there is given a COO sub-bundle, denoted T I .o M , of the complexified tangent bundle TM, such that each fiber T~'o M is of dimens...

متن کامل

Curvature Estimates in Asymptotically Flat Lorentzian Manifolds

We consider an asymptotically flat Lorentzian manifold of dimension (1, 3). An inequality is derived which bounds the Riemannian curvature tensor in terms of the ADM energy in the general case with second fundamental form. The inequality quantifies in which sense the Lorentzian manifold becomes flat in the limit when the ADM energy tends to zero.

متن کامل

Seiberg-Witten Equations on Asymptotically Flat Three Manifolds

We construct the Seiberg-Witten theory on asymptotically flat three manifolds and describe the structure of the moduli space. The analysis should serve as the basis for many applications in 3-manifold topology, including a proof of the equivalence of the Seiberg-Witten invariant of 3-manifolds and the Reidemeister torsion [7].

متن کامل

A Note on Existence and Non-existence of Minimal Surfaces in Some Asymptotically Flat 3-manifolds

Motivated by problems on apparent horizons in general relativity, we prove the following theorem on minimal surfaces: Let g be a metric on the three-sphere S satisfying Ric(g) ≥ 2g. If the volume of (S, g) is no less than one half of the volume of the standard unit sphere, then there are no closed minimal surfaces in the asymptotically flat manifold (S \ {P}, Gg). Here G is the Green’s function...

متن کامل

On Spherical CR Uniformization of 3-Manifolds

We consider the discrete representations of 3-manifold groups into PU(2, 1) that appear in the Falbel-Koseleff-Rouillier, such that the peripheral subgroups have cyclic unipotent holonomy. We show that two of these representations have conjugate images, even though they represent different 3-manifold groups. This illustrates the fact that a discrete representation π1(M) → PU(2, 1) with cyclic u...

متن کامل

ذخیره 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 Mathematics

سال: 2015

ISSN: 0001-8708

DOI: 10.1016/j.aim.2015.04.028