Results 11 to 20 of about 1,786 (81)
Transformations of locally conformally K\"ahler manifolds [PDF]
, 2009 We consider several transformation groups of a locally conformally K\"ahler manifold and discuss their inter-relations. Among other results, we prove that all conformal vector fields on a compact Vaisman manifold which is neither locally conformally ...
A. Moroianu +8 more
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Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves [PDF]
, 2010 We prove that if a Calabi--Yau manifold $M$ admits a holomorphic Cartan geometry, then $M$ is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on compact K\"ahler manifolds.
Atiyah +15 more
core +2 more sources
Strongly pseudo-convex CR space forms
Complex Manifolds, 2019 For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection.
Cho Jong Taek
doaj +1 more source
On Chen invariants and inequalities in quaternionic geometry
, 2013 In this paper we give a survey of main results concerning Chen inequalities for submanifolds in quaternionic space forms and propose some open problems in the field for further research.AMS Subject Classification:53C15, 53C25, 53C40.
G. Vîlcu
semanticscholar +1 more source
On Hyper Generalized Weakly Symmetric Manifolds
, 2018 This paper aims to introduce the notion of hyper generalized weakly symmetric manifolds with a non-trivial example.
K. Baishya, F. Zengin, J. Mikeš
semanticscholar +1 more source
η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +2 more
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η-RICCI SOLITONS ON 3-DIMENSIONAL N ( K )-CONTACT METRIC MANIFOLDS
, 2018 The object of the present paper is to study η-Ricci solitons on 3-dimensional N(k)-contact metric manifolds. First we consider φ-concircularly semisymmetric η-Ricci soliton on 3-dimensional N(k)-contact metric manifolds.
D. Kar, P. Majhi, U. De
semanticscholar +1 more source
Kobayashi—Hitchin correspondence for twisted vector bundles
Complex Manifolds, 2021 We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
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, 2014 In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove that the horizontal distribution of a Lagrangian submersion from a Kaehlerian manifold is integrable.
Taştan, Hakan Mete
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Locally conformally balanced metrics on almost abelian Lie algebras
Complex Manifolds, 2021 We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
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