Results 1 to 10 of about 139 (46)

Basic inequalities for statistical submanifolds in Golden-like statistical manifolds

Open Mathematics, 2022
In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem, Bahadir Oğuzhan, Park Choonkil, Hwang Inho   +3 more
doaj   +1 more source

ON THE OFFSETS OF RULED SURFACES IN EUCLIDEAN SPACE

, 2016
In the present paper, we study evolute offsets of a non-developable ruled surface in Euclidean 3-space E and classify the evolute offset with constant Gaussian curvature and constant mean curvature.
D. Yoon
semanticscholar   +1 more source

Classification of contact structures associated with the CR-structure of the complex indicatrix

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure.
Popovici Elena
doaj   +1 more source

An inequality for contact CR-warped product submanifolds of nearly cosymplectic manifolds

, 2012
Recently, Chen (Monatshefte Math. 133:177-195, 2001) established general sharp inequalities for CR-warped products in a Kaehler manifold. Afterward, Mihai obtained (Geom. Dedic.
S. Uddin, K. Khan
semanticscholar   +1 more source

QUASI-MINIMAL LAGRANGIAN SURFACES WHOSE MEAN CURVATURE VECTORS ARE EIGENVECTORS

, 2005
We investigate quasi-minimal Lagrangian surfaces whose mean curvature vectors are eigenvectors of the Laplace operator. 2000 Mathematics Subject Classification. Primary 53C42; Secondary 53B25.
T. Sasahara
semanticscholar   +1 more source

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

Open 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

Annals 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

Analele 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, Uddin Siraj, Bossly Rawan   +2 more
doaj   +1 more source

Classification of Rank-One Submanifolds. [PDF]

Results Math, 2023
Raffaelli M.
europepmc   +1 more source

Lie applicable surfaces and curved flats. [PDF]

Manuscr Math, 2022
Burstall F, Pember M.
europepmc   +1 more source