Bach-flat asymptotically locally Euclidean metrics
نویسندگان
چکیده
منابع مشابه
Ricci Flatness of Asymptotically Locally Euclidean Metrics
In this article we study the metric property and the function theory of asymptotically locally Euclidean (ALE) Kähler manifolds. In particular, we prove the Ricci flatness under the assumption that the Ricci curvature of such manifolds is either nonnegative or nonpositive. The result provides a generalization of previous gap type theorems established by Greene and Wu, Mok, Siu and Yau, etc. It ...
متن کاملRicci-Flat Anti-Self-Dual Asymptotically Locally Euclidean 4-Manifolds
of the Dissertation Ricci-Flat Anti-Self-Dual Asymptotically Locally Euclidean 4-Manifolds by Evan Patrick Wright Doctor of Philosophy in Mathematics Stony Brook University 2013 A classification result for Ricci-flat anti-self-dual asymptotically locally Euclidean 4-manifolds is obtained: they are either hyperkähler (one of the gravitational instantons classified by Kronheimer), or a cyclic quo...
متن کاملOn a class of locally projectively flat Finsler metrics
In this paper we study Finsler metrics with orthogonal invariance. We find a partial differential equation equivalent to these metrics being locally projectively flat. Some applications are given. In particular, we give an explicit construction of a new locally projectively flat Finsler metric of vanishing flag curvature which differs from the Finsler metric given by Berwald in 1929.
متن کاملAsymptotically Flat Self-dual Solutions to Euclidean Gravity
The discovery of pseudoparticle solutions to the euclidean SU(2) Yang-Mills theory [1 ] has suggested the possibility that analogous solutions might occur in Einstein's theory of gravitation. The existence of such solutions would have a profound effect on the quantum theory of gravitation [2,3]. Since fire Yang-Mills pseudoparticles possess self-dual field strengths, one likely possibility is t...
متن کاملThe topology of asymptotically locally flat gravitational instantons
In this letter we demonstrate that the intersection form of the Hausel–Hunsicker–Mazzeo compactification of a four dimensional ALF gravitational instanton is definite and diagonalizable over the integers if one of the Kähler forms of the hyper-Kähler gravitational instanton metric is exact. This leads to their topological classification. The proof exploits the relationship between L2 cohomology...
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: Inventiones mathematicae
سال: 2004
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-004-0412-1