Results 21 to 30 of about 3,068 (120)
Strongly pseudo-convex CR space forms
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
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 a class of contact Riemannian manifolds
We determine a locally symmetric or a Ricci‐parallel contact Riemannian manifold which satisfies a D‐homothetically invariant condition.
Jong Taek Cho
wiley +1 more source
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
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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η-RICCI SOLITONS ON 3-DIMENSIONAL N ( K )-CONTACT METRIC MANIFOLDS
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
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
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
doaj +1 more source
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