Results 11 to 20 of about 1,391 (106)
Kähler metrics via Lorentzian Geometry in dimension four
Complex Manifolds, 2019 Given a semi-Riemannian 4-manifold (M, g) with two distinguished vector fields satisfying properties determined by their shear, twist and various Lie bracket relations, a family of Kähler metrics gK is constructed, defined on an open set in M, which ...
Aazami Amir Babak, Maschler Gideon
doaj +1 more source
CANONICAL MEASURES AND KÄHLER-RICCI FLOW [PDF]
, 2012 We show that the Kähler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonical model.
Gang Tian, Jian Song
core +1 more source
Convergence of the weak K\"ahler-Ricci Flow on manifolds of general type
, 2019 We study the K\"ahler-Ricci flow on compact K\"ahler manifolds whose canonical bundle is big. We show that the normalized K\"ahler-Ricci flow has long time existence in the viscosity sense, is continuous in a Zariski open set, and converges to the unique
Tô, Tat Dat
core +1 more source
K\"ahler immersions of K\"ahler manifolds into complex space forms [PDF]
, 2017 The study of K\"ahler immersions of a given real analytic K\"ahler manifold into a finite or infinite dimensional complex space form originates from the pioneering work of Eugenio Calabi [10].
Loi, Andrea, Zedda, Michela
core +2 more sources
Collapsing immortal Kähler-Ricci flows
Forum of Mathematics, PiWe consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical metric on the base of the Iitaka fibration in the locally smooth topology ...
Hans-Joachim Hein +2 more
doaj +1 more source
Continuity Equation of Transverse Kähler Metrics on Sasakian Manifolds
MathematicsWe introduce the continuity equation of transverse Kähler metrics on Sasakian manifolds and establish its interval of maximal existence. When the first basic Chern class is null (resp. negative), we prove that the solution of the (resp.
Yushuang Fan, Tao Zheng
doaj +1 more source
The stability inequality for Ricci-flat cones [PDF]
, 2014 In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over CP^2 is stable, showing that the first stable non-flat Ricci-flat cone occurs in the smallest ...
A. Besse +47 more
core +1 more source
, 2015 For $\phi$ a metric on the anticanonical bundle, $-K_X$, of a Fano manifold $X$ we consider the volume of $X$ $$ \int_X e^{-\phi}. $$ We prove that the logarithm of the volume is concave along bounded geodesics in the space of positively curved metrics ...
Berndtsson, Bo
core +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
On the stability of Einstein manifolds
, 2014 Certain curvature conditions for stability of Einstein manifolds with respect to the Einstein-Hilbert action are given. These conditions are given in terms of quantities involving the Weyl tensor and the Bochner tensor.
Kroencke, Klaus
core +1 more source