A flow of conformally balanced metrics with Kähler fixed points
نویسندگان
چکیده
منابع مشابه
Locally conformally Kähler manifolds with potential
A locally conformally Kähler (LCK) manifold M is one which is covered by a Kähler manifold M̃ with the deck transform group acting conformally on M̃ . If M admits a holomorphic flow, acting on M̃ conformally, it is called a Vaisman manifold. Neither the class of LCK manifolds nor that of Vaisman manifolds is stable under small deformations. We define a new class of LCK-manifolds, called LCK manifo...
متن کاملTopology of locally conformally Kähler manifolds with potential
Locally conformally Kähler (LCK) manifolds with potential are those which admit a Kähler covering with a proper, automorphic, global potential. Existence of a potential can be characterized cohomologically as vanishing of a certain cohomology class, called the Bott-Chern class. Compact LCK manifolds with potential are stable at small deformations and admit holomorphic embeddings into Hopf manif...
متن کاملQuasi-Metrics and Fixed Points in Computing
We consider quasi-metrics as a technical tool for use in theoretical computer science. In particular, we discuss their use in nding xed points of operators arising in programming language semantics, especially those arising in logic programming .
متن کاملKähler metrics ( II )
This paper, the second of a series, deals with the function space of all smooth Kähler metrics in any given closed complex manifold M in a fixed cohomology class. This function space is equipped with a pre-Hilbert manifold structure introduced by T. Mabuchi [10], where he also showed formally it has non-positive curvature. The previous result of the second author [4] showed that the space is a ...
متن کاملKähler Metrics on G
We study G-invariant Kähler metrics on G from the Hamiltonian point of view. As an application we show that there exist G × G-invariant Ricci-flat Kähler metrics on G for any compact semisimple Lie group G.
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: 2019
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-019-01844-1