Results 21 to 30 of about 2,254 (90)
Non-toric Cones and Chern-Simons Quivers [PDF]
, 2017 We obtain an integral formula for the volume of non-toric tri-Sasaki Einstein manifolds arising from nonabelian hyperkahler quotients. The derivation is based on equivariant localization and generalizes existing formulas for Abelian quotients, which lead
Crichigno, P. Marcos, Jain, Dharmesh
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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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Fibred GK geometry and supersymmetric AdS solutions
Journal of High Energy Physics, 2019 We continue our study of a general class of N $$ \mathcal{N} $$ = 2 supersymmetric AdS 3 x Y 7 and AdS 2 x Y 9 solutions of type IIB and D = 11 supergravity, respectively. The geometry of the internal spaces is part of a general family of “GK geometries”,
Jerome P. Gauntlett +2 more
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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
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The cosymplectic Chern–Hamilton conjecture
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 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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The Algebraic Index Theorem and Fedosov Quantization of Lagrange-Finsler and Einstein Spaces
, 2013 Various types of Lagrange and Finsler geometries and the Einstein gravity theory, and modifications, can be modelled by nonholonomic distributions on tangent bundles/ manifolds when the fundamental geometric objects are adapted to nonlinear connection ...
Vacaru, Sergiu I.
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Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi +3 more
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Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature.
Dehe Li, Sicheng Li, Antonio Masiello
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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
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