Results 11 to 20 of about 21,501 (172)
Toric extremal Kähler-Ricci solitons are Kähler-Einstein
Complex Manifolds, 2017 In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature ...
Calamai Simone, Petrecca David
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Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]
, 2003 It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
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Strongly not relatives Kähler manifolds [PDF]
, 2017 In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the ...
ZEDDA, MICHELA +2 more
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Kähler uniformization from holographic renormalization group flows of M5-branes
Journal of High Energy Physics, 2018 In this paper, we initiate the study of holographic renormalization group flows for the metric of four-manifolds. In particular, we derive a set of equations which govern the evolution of a generic Kähler four-manifold along the renormalization group ...
Martin Fluder
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Eigenvalue Estimates of the spin c Dirac Operator and Harmonic Forms on Kahler{Einstein Manifolds [PDF]
, 2015 We establish a lower bound for the eigenvalues of the Dirac operator defined on a compact Kahler{Einstein manifold of positive scalar curvature and endowed with particular spin c structures.
Roger Nakad, Mihaela Pilca
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Special Einstein’s equations on Kähler manifolds [PDF]
, 2010 summary:This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to ...
Hinterleitner, Irena +3 more
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Sasakian quiver gauge theories and instantons on cones over lens 5-spaces
Nuclear Physics B, 2015 We consider SU(3)-equivariant dimensional reduction of Yang–Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki–Einstein manifolds.
Olaf Lechtenfeld +3 more
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Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
Complex Manifolds, 2019 An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded ...
Ohnita Yoshihiro
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Degeneration of Kähler-Einstein Manifolds II: the Toroidal case [PDF]
, 2003 In this paper we prove that the K\"{a}hler-Einstein metrics for a toroidal canonical degeneration family of K\"{a}hler manifolds with ample canonical bundles Gromov-Hausdorff converge to the complete K\"{a}hler-Einstein metric on the smooth part of the ...
Wei-Dong Ruan
semanticscholar +1 more source
Higher regularity for singular Kähler-Einstein metrics
, 2022 We study singular Kähler-Einstein metrics that are obtained as non-collapsed limits of polarized Kähler-Einstein manifolds. Our main result is that if the metric tangent cone at a point is locally isomorphic to the germ of the singularity, then the ...
Chiu, Shih-Kai, Székelyhidi, Gábor
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