Results 11 to 20 of about 1,202,632 (386)
Einstein metrics on the ten-sphere [PDF]
Journal of the European Mathematical Society, 2023 We prove the existence of three non-round, non-isometric Einstein metrics with positive scalar curvature on the sphere S^{10} . Previously, the only even-dimensional spheres known to admit non-round Einstein metrics were S^{6} and
Jan Nienhaus, Matthias Wink
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Rigidity of quasi-Einstein metrics
Differential Geometry and its Applications, 2011 We call a metric quasi-Einstein if the $m$-Bakry-Emery Ricci tensor is a constant multiple of the metric tensor. This is a generalization of Einstein metrics, which contains gradient Ricci solitons and is also closely related to the construction of the warped product Einstein metrics.
Case, Jeffrey, Shu, Yu-Jen, Wei, Guofang
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Geodesic-Einstein metrics and nonlinear stabilities [PDF]
Transactions of the American Mathematical Society, 2017 In this paper, we introduce notions of nonlinear stabilities for a relative ample line bundle over a holomorphic fibration and define the notion of a geodesic-Einstein metric on this line bundle, which generalize the classical stabilities and Hermitian ...
Huitao Feng, Kefeng Liu, Xueyuan Wan
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Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds [PDF]
Geometry & Topology, 2018 We show that homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds, using that they admit periodic, integrally minimal foliations by homogeneous hypersurfaces.
Christoph Bohm, Ramiro A. Lafuente
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Indefinite Einstein metrics on nice Lie groups [PDF]
, 2018 We introduce a systematic method to produce left-invariant, non-Ricci-flat Einstein metrics of indefinite signature on nice nilpotent Lie groups. On a nice nilpotent Lie group, we give a simple algebraic characterization of non-Ricci-flat left-invariant ...
D. Conti, F. Rossi
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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
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A FAMILY OF EINSTEIN RANDERS METRICS [PDF]
International Journal of Geometric Methods in Modern Physics, 2011 We classify all Einstein Randers metric on R4 constructed from ga, the Hawking Taub–NUT metric, and a homothetic vector field W for ga in the Zermelo navigation representation. All of these Einstein Randers metrics are Ricci-flat and are not of scalar flag curvature. Finally, the moduli space of constructed Randers metrics is obtained.
Najafi, B., Tayebi, A.
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On static Poincaré-Einstein metrics [PDF]
Journal of High Energy Physics, 2015 Trivial correction to equation 2.1 (published version does not contain this correction)
Galloway, Gregory, Woolgar, Eric
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Einstein metrics and Mostow rigidity [PDF]
Mathematical Research Letters, 1995 Using the new diffeomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Einstein metrics on compact quotients of irreducible 4-dimensional symmetric spaces of non-compact type. The proof also yields a Riemannian version of the Miyaoka-Yau inequality.
Suny Stony Brook, Claude LeBrun
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New Einstein metrics on ${\rm Sp}(n)$ which are non-naturally reductive [PDF]
, 2022 summary:We prove that there are at least two new non-naturally reductive ${\rm Ad}({\rm Sp}(l)\times {\rm Sp}(k)\times {\rm Sp}(k)\times {\rm Sp}(k))$ invariant Einstein metrics on ${\rm Sp} (l+3k)$ $(k 4$ admits at least $2[\tfrac 14 (n-1)]$ non ...
Zhang, Shaoxiang, Chen, Huibin
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