Results 21 to 30 of about 59,234 (245)

Hermitian Curvature Flow on compact homogeneous spaces [PDF]

, 2019
We study a version of the Hermitian curvature flow on compact homogeneous complex manifolds. We prove that the solution has a finite exstinction time $T>0$ and we analyze its behaviour when $t\to T$.
Panelli, Francesco, Podestà, Fabio
core   +2 more sources

On automorphism groups of homogeneous complex manifolds [PDF]

Proceedings of the American Mathematical Society, 1961
The reproducing property of the Bergman kernel function [1 ] plays an essential role in our proof. As we consider not only bounded domains in Cn, but also general complex manifolds, we replace the kernel function by the kernel form (see [2 ] for the definition and properties of the kernel form).
openaire   +2 more sources

A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds

Mathematics
In this paper, we apply a result of the classification of a compact cohomogeneity one Riemannian manifold with a compact Lie group G to obtain a classification of compact cohomogeneity one locally conformal Kähler manifolds.
Daniel Guan
doaj   +1 more source

Geometry of Manifolds and Applications

Mathematics
This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
doaj   +1 more source

Complex subspaces of homogeneous complex manifolds II—Homotopy Results [PDF]

Nagoya Mathematical Journal, 1982
The Lefschetz hyperplane section theorem has roots going back at least to Picard, but it was Lefschetz [20] who first stated and proved it in the modern form for integer homology. Later it was improved up to the homotopy level by Andreotti-Frankel [1] and Bott [8] using an idea of Thorn. Numerous generalizations along the same lines have appeared, e.g.
openaire   +2 more sources

Advanced Manifold–Metric Pairs

Mathematics
This article presents a novel mathematical formalism for advanced manifold–metric pairs, enhancing the frameworks of geometry and topology. We construct various D-dimensional manifolds and their associated metric spaces using functional methods, with a ...
Pierros Ntelis
doaj   +1 more source

The Oka principle for sections of subelliptic submersions

, 2001
Let X and Y be complex manifolds. One says that maps from X to Y satisfy the Oka principle if the inclusion of the space of holomorphic maps from X to Y into the space of continuous maps is a weak homotopy equivalence. In 1957 H.
Forstneric, Franc
core   +1 more source

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

Molecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson, Lyanne Delgado‐Coka, Natalia Marchenko, Luisa F. Escobar‐Hoyos, Kenneth R. Shroyer, Alisa Yurovsky, Trey Ideker, Gábor Balázsi, Thomas MacCarthy, Scott Powers   +9 more
wiley   +1 more source

Existence of Generalized Maxwell–Einstein Metrics on Completions of Certain Line Bundles

Mathematics
In Kähler geometry, Calabi extremal metrics serves as a class of more available special metrics than Kähler metrics with constant scalar curvatures, as a generalization of Kähler Einstein metrics. In recent years, Maxwell–Einstein metrics (or conformally
Jing Chen, Daniel Guan
doaj   +1 more source

On the topology of minimal orbits in complex flag manifolds

, 2007
We compute the Euler-Poincar\'e characteristic of the homogeneous compact manifolds that can be described as minimal orbits for the action of a real form in a complex flag manifold.Comment: 21 pages v2: Major ...
Altomani, Andrea, Medori, Costantino, Nacinovich, Mauro   +2 more
core   +3 more sources