Codimension four regularity of generalized Einstein structures
نویسندگان
چکیده
We establish codimension 4 regularity of noncollapsed sequences metrics with bounds on natural generalizations the Ricci tensor. obtain a priori $$L^2$$ curvature estimates such spaces, diffeomorphism finiteness results and rigidity theorems as corollaries.
منابع مشابه
Einstein structures on four-dimensional nutral Lie groups
When Einstein was thinking about the theory of general relativity based on the elimination of especial relativity constraints (especially the geometric relationship of space and time), he understood the first limitation of especial relativity is ignoring changes over time. Because in especial relativity, only the curvature of the space was considered. Therefore, tensor calculations should be to...
متن کاملEinstein gravity on the codimension 2 brane?
We look at general brane worlds in six-dimensional Einstein-Gauss-Bonnet gravity. We find the general matching conditions for the brane world, which remarkably give precisely the four-dimensional Einstein equations for the brane, even when the extra dimensions are noncompact and have infinite volume. Relaxing regularity of the curvature in the vicinity of the brane, or having a thick brane, giv...
متن کاملQuadratic perturbations of quadratic codimension-four centers
We study the stratum in the set of all quadratic differential systems ẋ = P2(x, y), ẏ = Q2(x, y) with a center, known as the codimension-four case Q4. It has a center and a node and a rational first integral. The limit cycles under small quadratic perturbations in the system are determined by the zeros of the first Poincaré-Pontryagin-Melnikov integral I. We show that the orbits of the unpertur...
متن کاملOn the Regularity of Cr Mappings in Higher Codimension
We give a proof of the regularity of Hölder CR homeomorphisms of strictly pseudo convex CR manifolds of higher codimension. The purpose of this paper is to complete and simplify the proof of one of the main results of [T] on the regularity of CR mappings of strictly pseudo convex CR manifolds of higher codimension. In [T] we introduce a local theory of extremal discs for such manifolds and appl...
متن کاملRegularity in codimension one of orbit closures in module varieties
Let Md(k) denote the space of d×d-matrices with coefficients in an algebraically closed field k. Let X be an orbit closure in the product [Md(k)] t equipped with the action of the general linear group GLd(k) by simultaneous conjugation. We show that X is regular at any point y such that the orbit of y has codimension one in X. The proof uses mainly the representation theory of associative algeb...
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: Mathematische Annalen
سال: 2022
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-022-02516-3