Results 21 to 30 of about 21,501 (172)
Conformally Einstein Products and Nearly Kähler Manifolds
, 2008 International audienceIn the first part of this note we study compact Riemannian manifolds (M,g) whose Riemannian product with R is conformally Einstein.
Moroianu, Andrei, Ornea, Liviu
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Vanishing theorems on compact Chern-Kähler-like Hermitian manifolds
, 2023 We show that, under the definiteness of holomorphic sectional curvature, the spaces of some holomorphic tensor fields on compact Chern-Kähler-like Hermitian manifolds are trivial.
Li, Ping
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, 2017 We analyze degenerate homogeneous structures of linear type in the pseudo-Kähler and para-Kähler cases. The local form and the holonomy of pseudo-K¨ahler or para-K¨ahler manifolds admitting such structure are obtained.
Luján, Ignacio +3 more
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Compact Moduli Spaces of Kähler–Einstein Fano Varieties [PDF]
, 2015 We construct geometrically compacti ed moduli spaces of Kähler-Einstein Fano ...
Odaka, Yuji
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Type I Almost-Homogeneous Manifolds of Cohomogeneity One—IV
Axioms, 2018 This paper is one of a series in which we generalize our earlier results on the equivalence of existence of Calabi extremal metrics to the geodesic stability for any type I compact complex almost homogeneous manifolds of cohomogeneity one. In this paper,
Zhuang-Dan Daniel Guan +2 more
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Minimal two spheres in Kähler–Einstein Fano manifolds
, 2005 In this paper we show the existence of stable symplectic non-holomorphic two-spheres in Kähler manifolds of positive constant scalar curvature of real dimension four and in Kähler–Einstein Fano manifolds of real dimension six. Some of the techniques used
Arezzo, Claudio +2 more
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Fibred GK geometry and supersymmetric AdS solutions
Journal of High Energy Physics, 2019 We continue our study of a general class of N = 2 $$ \mathcal{N}=2 $$ supersymmetric AdS3 × Y7 and AdS2 × Y9 solutions of type IIB and D = 11 supergravity, respectively.
Jerome P. Gauntlett +2 more
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Cohomology of D-complex manifolds
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella +4 more
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Balanced Metrics and Noncommutative Kähler Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2010 In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions C^∞(M) on a Kähler manifold M. In this setup one interprets M as the phase space itself, equipped with the Poisson brackets inherited ...
Sergio Lukic
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