Results 41 to 50 of about 94 (89)
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
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 +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
Warped Product CR-Submanifolds in Lorentzian para Sasakian Manifolds [PDF]
, 2010 2000 Mathematics Subject Classification: 53C15, 53C40, 53C42.Many research articles have recently appeared exploring existence or non existence of warped product submanifolds in known spaces (cf. [2, 5, 8]). The objective of the present paper is to study
Uddin, Siraj
core
Complete maximal spacelike surfaces in an anti-de Sitter space {\bf H}^{4}_{2}(c)
, 2000 In this paper, we prove that if M^2 is a complete maximal spacelike surface of an anti-de Sitter space {\bf H}^{4}_{2}(c) with constant scalar curvature, then S=0, S={-10c\over 11}, S={-4c\over 3} or S=-2c, where S is the squared norm of the second ...
Qing-Ming Cheng
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A twistor construction of Kaehler submanifolds of a quaternionic Kaehler manifold
, 2005 . A class of minimal almost complex submanifolds of a Riemannian manifold M ̃ 4n with a parallel quaternionic structure Q, in particular of a 4-dimensional oriented Riemannian manifold, is studied. A notion of Kähler submanifold is defined.
MARCHIAFAVA, Stefano, D. V. ALEKSEEVSKY
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Some Results about the Classification of Totally Real Minimal Surfaces in S
, 2007 In this paper we prove that the Contact angle (π/4 ≤ β < π/2) for totally real compact minimal surfaces in the sphere S 5 with a parallel normal vector field must be constant.
Rodrigo Ristow Montes
core
© Hindawi Publishing Corp. A NOTE ON CHEN’S BASIC EQUALITY FOR SUBMANIFOLDS IN A SASAKIAN SPACE FORM
, 2002 It is proved that a Riemannian manifold M isometrically immersed in a Sasakian space form M̃(c) of constant ϕ-sectional curvature c < 1, with the structure vec-tor field ξ tangent to M, satisfies Chen’s basic equality if and only if it is a 3 ...
Mukut Mani Tripathi +2 more
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Total torsion of three-dimensional lines of curvature. [PDF]
Geom Dedic, 2023 Raffaelli M.
europepmc +1 more source
Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds
, 2019 In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a warped product and establish an inequality for the squared norm of the ...
Uddin, Siraj +2 more
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