Results 1 to 10 of about 21,501 (172)
Kähler-Einstein metrics: Old and New
Complex Manifolds, 2017 We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability).
Angella Daniele, Spotti Cristiano
doaj +3 more sources
Holomorphic geometric structures on Kähler–Einstein manifolds [PDF]
Manuscripta mathematica, 2016 We prove that the compact Kähler manifolds with $$c_{1} \ge 0$$c1≥0 that admit holomorphic parabolic geometries are the flat bundles of rational homogeneous varieties over complex tori.
B. McKay
semanticscholar +5 more sources
A Kähler Einstein structure on the tangent bundle of a space form
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant.
Vasile Oproiu
doaj +2 more sources
Uniqueness of optimal symplectic connections
Forum of Mathematics, Sigma, 2021 Consider a holomorphic submersion between compact Kähler manifolds, such that each fibre admits a constantscalar curvature Kähler metric. When the fibres admit continuous automorphisms, a choice of fibrewise constant scalarcurvature Kähler metric is not ...
Ruadhaí Dervan, Lars Martin Sektnan
doaj +1 more source
Kobayashi—Hitchin correspondence for twisted vector bundles
Complex Manifolds, 2021 We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
doaj +1 more source
Black hole attractors and U(1) Fayet-Iliopoulos gaugings: analysis and classification
Journal of High Energy Physics, 2022 We classify the critical points of the effective black hole potential which governs the attractor mechanism taking place at the horizon of static dyonic extremal black holes in N $$ \mathcal{N} $$ = 2, D = 4 Maxwell-Einstein supergravity with U(1) Fayet ...
Davide Astesiano +2 more
doaj +1 more source
The Moser-Trudinger inequality on Kähler-Einstein manifolds [PDF]
, 2006 We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for K\"ahler-Einstein manifolds with positive first Chern class, when there are no holomorphic vector fields, and, more generally, when the setting is invariant under a ...
D. Phong +3 more
semanticscholar +1 more source
Universal accelerating cosmologies from 10d supergravity
Journal of High Energy Physics, 2023 We study 4d Friedmann-Lemaître-Robertson-Walker cosmologies obtained from time-dependent compactifications of Type IIA 10d supergravity on various classes of 6d manifolds (Calabi-Yau, Einstein, Einstein-Kähler).
Paul Marconnet, Dimitrios Tsimpis
doaj +1 more source
A polar dual to the momentum of toric Fano manifolds
Complex Manifolds, 2021 We introduce an invariant on the Fano polytope of a toric Fano manifold as a polar dual counterpart to the momentum of its polar dual polytope. Moreover, we prove that if the momentum of the polar dual polytope is equal to zero, then the dual invariant ...
Sano Yuji
doaj +1 more source
On some compact almost Kähler locally symmetric space
International Journal of Mathematics and Mathematical Sciences, 1998 In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗-Einstein vnanifold with non-negative ,∗-scalar curvature, then M is a Kähler manifold.
Takashi Oguro
doaj +1 more source