Results 41 to 50 of about 29,467 (233)
Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri, Jay Prakash Singh
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Remarks on derived equivalences of Ricci-flat manifolds [PDF]
Mathematische Zeitschrift, 2009 25 ...
Huybrechts, Daniel +1 more
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A (CHR)3-flat trans-Sasakian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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Ricci-flat kahler manifolds and supersymmetry
Physics Letters B, 1980 Abstract A class of supersymmetric non-linear σ-models obtained previously is shown to generate a set of explicit Ricci-flat Kahler metrics of even complex dimension. The two-dimensional case is a self-dual gravitational instanton, very probably the Eguchi-Hansen metric, while higher dimensional cases may coincide with manifolds of Calabi.
Luis Alvarez-Gaumé, Daniel Z. Freedman
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Mathematics, 2021 In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration ...
Josef Mikeš +3 more
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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
International Journal of Mathematics and Mathematical Sciences, 2012 We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet +2 more
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, 1995 We show that the Riemannian Kerr solutions are the only Riemannian, Ricci-flat and asymptotically flat ${\rm C}^{2}$-metrics $g_{\mu\nu}$ on a 4-dimensional complete manifold ${\cal M}$ of topology ${\rm R}^{2} \times {\rm S}^{2}$ which have (at least) a
Simon, Walter
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On complete Ricci-flat metrics on open Kähler manifolds [PDF]
Matemática Contemporânea, 2006 This paper has two purposes. First it partially extends the result in the author's previous work concerning the asymptotic expansion of the Tian-Yau metrics, by considering a slightly larger class of quasi-projective manifolds. This text is also intended to provide a quick introductory reference to the study of Ricci-flat metrics on open manifolds.
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Yang-Mills Instantons from Gravitational Instantons
, 2011 We show that every gravitational instantons are SU(2) Yang-Mills instantons on a Ricci-flat four manifold although the reverse is not necessarily true. It is shown that gravitational instantons satisfy exactly the same self-duality equation of SU(2) Yang-
Oh, John J. +2 more
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K\"ahler currents and null loci [PDF]
, 2015 We prove that the non-Kahler locus of a nef and big class on a compact complex manifold bimeromorphic to a Kahler manifold equals its null locus. In particular this gives an analytic proof of a theorem of Nakamaye and Ein-Lazarsfeld-Mustata-Nakamaye-Popa.
Collins, Tristan C., Tosatti, Valentino
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