A new invariant Kähler metric on relatively compact domains in a complex manifold
نویسندگان
چکیده
منابع مشابه
On a Metric on Translation Invariant Spaces
In this paper we de ne a metric on the collection of all translation invarinat spaces on a locally compact abelian group and we study some properties of the metric space.
متن کاملCoupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces
In this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. In fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. Some examples are provided to verify the effectiveness and applicability of our results.
متن کاملThe cohomology of a variation of polarized Hodge structures over a quasi - compact Kähler manifold
Let (M,ω0) be a compact Kähler manifold of dimension n and D a divisor of M with at most normal crossing singularities . Let D = ∪i=1Di , where the Di are smooth divisors of M . Denote M \ D by M , called a quasi-compact Kähler manifold. j : M → M is the inclusion mapping. According to [3], one can construct a complete Kähler metric ω on M which is a Poincaré-like metric near the divisor and of...
متن کاملComplex Hessian Equations on Some Compact Kähler Manifolds
On a compact connected 2m-dimensional Kähler manifold with Kähler form ω, given a smooth function f : M → R and an integer 1 < k < m, we want to solve uniquely in ω the equation ω̃ ∧ωm−k eω, relying on the notion of k-positivity for ω̃ ∈ ω the extreme cases are solved: k m by Yau in 1978 , and k 1 trivially . We solve by the continuity method the corresponding complex elliptic kthHessian equation...
متن کاملA new metric on the manifold of kernel matrices
Symmetric positive definite (spd) matrices pervade numerous scientific disciplines, including machine learning and optimization. We consider the key task of measuring distances between two spd matrices; a task that is often nontrivial whenever the distance function must respect the non-Euclidean geometry of spd matrices. Typical non-Euclidean distance measures such as the Riemannian metric δR(X...
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: Annales Polonici Mathematici
سال: 2007
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap91-2-5