Results 31 to 40 of about 49 (49)

Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

Complex Manifolds, 2019
The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ).
Miyaoka Reiko, Ohnita Yoshihiro
doaj   +1 more source

Oriented 6‐dimensional submanifolds in the octonians, III

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 111-120, 1995., 1993
In this paper, we classify 6‐dimensional almost Hermitian submanifolds in the octonians 𝕆 according to the classification introduced by A. Gray and L. Hervella. We give new examples of quasi‐Käthler and ∗‐Einstein submanifolds in 𝕆. Also, we prove that a 6‐dimensional weakly ∗‐Einstein Hermitian submanifold in 𝕆 is totally geodesic.
Hideya Hashimoto
wiley   +1 more source

On CR‐submanifolds of the six‐dimensional sphere

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 201-203, 1995., 1995
We consider proper CR‐submanifolds of the six‐dimensional sphere S6. We prove that S6 does not admit compact proper CR‐submanifolds with non‐negative sectional curvature and integrable holomorphic distribution.
M. A. Bashir
wiley   +1 more source

Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

Open Mathematics, 2015
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina, Pérez Juan de Dios   +1 more
doaj   +1 more source

Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces

Complex Manifolds, 2019
An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded ...
Ohnita Yoshihiro
doaj   +1 more source

DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: In this paper, we give characterizations of dual timelike normal and dual timelike spherical curves in the dual Minkowski 3-space and we show that every dual timelike normal curve is also a dual timelike spherical curve.
Mehmet ÖNDER
doaj  

Total torsion of three-dimensional lines of curvature. [PDF]

Geom Dedic, 2023
Raffaelli M.
europepmc   +1 more source

Classification of Rank-One Submanifolds. [PDF]

Results Math, 2023
Raffaelli M.
europepmc   +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

Estimating the Reach of a Manifold via its Convexity Defect Function. [PDF]

Discrete Comput Geom, 2022
Berenfeld C, Harvey J, Hoffmann M, Shankar K.   +3 more
europepmc   +1 more source