Results 11 to 20 of about 47 (47)

On locally conformal Kähler space forms

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 69-74, 1985., 1985
An m‐dimensional locally conformal Kähler manifold (l.c.K‐manifold) is characterized as a Hermitian manifold admitting a global closed l‐form αλ (called the Lee form) whose structure satisfies , where ∇λ denotes the covariant differentiation with respect to the Hermitian metric gμλ, , and the indices ν, μ, …, λ run over the range 1, 2, …, m. For l.
Koji Matsumoto
wiley   +1 more source

On contact CR‐submanifolds of sasakian manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 2, Page 313-326, 1983., 1983
Recently, K.Yano and M.Kon [5] have introduced the notion of a contact CR‐submanifold of a Sasakian manifold which is closely similar to the one of a CR‐submanifold of a Kaehlerian manifold defined by A. Bejancu [1]. In this paper, we shall obtain some fundamental properties of contact CR‐submanifolds of a Sasakian manifold.
Koji Matsumoto
wiley   +1 more source

Purity and hybridness of two tensors on a real hypersurface in complex projective space

open access: yesOpen Mathematics
On a real hypersurface MM in complex projective space, we can define two tensor fields of type (1, 2), AF(k){A}_{F}^{\left(k)} and AT(k){A}_{T}^{\left(k)}, associated with the shape operator AA of the real hypersurface, for any nonnull real number kk ...
Pérez Juan de Dios, Pérez-López David
doaj   +1 more source

III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
Some work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
doaj   +1 more source

Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed   +2 more
doaj   +1 more source

Lie applicable surfaces and curved flats. [PDF]

open access: yesManuscr Math, 2022
Burstall F, Pember M.
europepmc   +1 more source

On an inequality of Oprea for Lagrangian submanifolds

open access: yesOpen Mathematics, 2009
Dillen Franki, Fastenakels Johan
doaj   +1 more source

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