Results 21 to 30 of about 1,448 (102)
Kobayashi—Hitchin correspondence for twisted vector bundles
We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
doaj +1 more source
On real hypersurfaces in quaternionic projective space with 𝒟⊥‐recurrent second fundamental tensor
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with 𝒟⊥‐recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
Young Jin Suh, Juan De Dios Pérez
wiley +1 more source
η-Ricci Solitons on Sasakian 3-Manifolds
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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Locally conformally balanced metrics on almost abelian Lie algebras
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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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
core +1 more source
Real hypersurfaces of type A in quarternionic projective space
In this paper, under certain conditions on the orthogonal distribution 𝒟, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki +2 more
wiley +1 more source
On a structure satisfying FK − (−)K+1F = 0
In this paper we shall obtain certain results on the structure defined by F(K, −(−)K+1) and satisfying FK − (−)K+1F = 0, where F is a non null tensor field of the type (1, 1) Such a structure on an n‐dimensional differentiable manifold Mn has been called F(K, −(−)K+1) structure of rank “r”, where the rank of F is constant on Mn and is equal to “r” In ...
Lovejoy S. Das
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Using algebraic topology, we find out the number of all non‐parallel s‐structures which an n‐dimensional Euclidean space En admits. The obtaining results are generalized on a manifold M which is CW‐complex.
Philippos J. Xenos, John N. Karatsobanis
wiley +1 more source
On a class of exact locally conformal cosymlectic manifolds
An almost cosymplectic manifold M is a (2m + 1)‐dimensional oriented Riemannian manifold endowed with a 2‐form Ω of rank 2m, a 1‐form η such that Ωm Λ η ≠ 0 and a vector field ξ satisfying iξΩ = 0 and η(ξ) = 1. Particular cases were considered in [3] and [6].
I. Mihai, L. Verstraelen, R. Rosca
wiley +1 more source
On the structure vector field of a real hypersurface in complex quadric
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
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