Results 31 to 40 of about 28,626 (211)
On Bochner Flat Kähler B-Manifolds
Axioms, 2023 We obtain on a Kähler B-manifold (i.e., a Kähler manifold with a Norden metric) some corresponding results from the Kählerian and para-Kählerian context concerning the Bochner curvature. We prove that such a manifold is of constant totally real sectional
Cornelia-Livia Bejan +2 more
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Infinite families of homogeneous Bismut Ricci flat manifolds
Communications in Contemporary Mathematics, 2022 Starting from compact symmetric spaces of inner type, we provide infinite families of compact homogeneous spaces carrying invariant non-flat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized symmetric spaces of order [Formula: see text] and (up to coverings) they can be realized as minimal submanifolds of the ...
Fabio Podestà, Alberto Raffero
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Some notes on the tangent bundle with a Ricci quarter-symmetric metric connection
AIMS Mathematics, 2023 Let $ (M, g) $ be an $ n $-dimensional (pseudo-)Riemannian manifold and $ TM $ be its tangent bundle $ TM $ equipped with the complete lift metric $ ^{C}g $.
Yanlin Li, Aydin Gezer, Erkan Karakaş
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On the local extension of Killing vector-fields in Ricci flat manifolds [PDF]
Journal of the American Mathematical Society, 2012 We revisit the extension problem for Killing vector-fields in smooth Ricci flat manifolds, and its relevance to the black hole rigidity problem. We prove both a stronger version of the main local extension result established earlier, as well as two types of results concerning non-extendibility. In particular, we show that one can find local, stationary,
Alexandru D. Ionescu, Sergiù Klainerman
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Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds
Differential Geometry and its Applications, 2006 30 pages, revised versions: typos corrected, references added, in v4 error in Theorem 4.2 ...
Thomas Leistner
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Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index [PDF]
Any closed connected Riemannian spin manifold of non-zero $\hat{A}$-genus or non-zero Hitchin invariant with non-negative scalar curvature admits a parallel spinor, in particular is Ricci-flat. In this note, we generalize this result to closed connected spin manifolds of non-vanishing Rosenberg index.
Thomas Tony
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Evolution of the Weyl Tensor under the Ricci Flow [PDF]
, 2011 We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci ...
Catino, Giovanni, Mantegazza, Carlo
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Energy and asymptotics of Ricci-flat 4-manifolds with a Killing field [PDF]
Proceedings of the American Mathematical Society, 2017 Given a complete, Ricci-flat 4-manifold with a Killing field, we give an estimate on the manifold's energy in terms of a certain asymptotic quantity of the Killing field. If the Killing field has no zeros and satisfies a certain asymptotic condition, the manifold is flat.
Brian Weber
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Ricci-Flat Metrics on Vector Bundles Over Flag Manifolds [PDF]
Communications in Mathematical Physics, 2020 AbstractWe construct explicit complete Ricci-flat metrics on the total spaces of certain vector bundles over flag manifolds of the group SU(n), for all Kähler classes. These metrics are natural generalizations of the metrics of Candelas–de la Ossa on the conifold, Pando Zayas–Tseytlin on the canonical bundle over $$\mathbb {CP}^1\times \mathbb {CP}^1 ...
Dmitri Bykov +2 more
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Infinite time singularities of the K\"ahler-Ricci flow [PDF]
, 2016 We study the long-time behavior of the Kahler-Ricci flow on compact Kahler manifolds. We give an almost complete classification of the singularity type of the flow at infinity, depending only on the underlying complex structure.
Tosatti, Valentino, Zhang, Yuguang
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