Results 21 to 30 of about 1,004 (83)

CR‐submanifolds of a nearly trans‐Sasakian manifold

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 3, Page 167-175, 2002., 2002
This paper considers the study of CR‐submanifolds of a nearly trans‐Sasakian manifold, generalizing the results of trans‐Sasakian manifolds and thus those of Sasakian manifolds.
Falleh R. Al-Solamy
wiley   +1 more source

Submanifolds of F‐structure manifold satisfying FK + (−)K+1F = 0

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 3, Page 167-172, 2001., 2001
The purpose of this paper is to study invariant submanifolds of an n‐dimensional manifold M endowed with an F‐structure satisfying FK + (−)K+1F = 0 and FW + (−)W+1F ≠ 0 for 1 < W < K, where K is a fixed positive integer greater than 2. The case when K is odd (≥3) has been considered in this paper.
Lovejoy S. Das
wiley   +1 more source

On real hypersurfaces in quaternionic projective space with 𝒟⊥‐recurrent second fundamental tensor

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 109-117, 1999., 1999
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

Parallel Mean Curvature Surfaces in Symmetric Spaces

open access: yes, 2011
We present a reduction of codimension theorem for surfaces with parallel mean curvature in symmetric ...
H. Alencar   +4 more
core   +1 more source

Osculating curves in 4-dimensional semi-Euclidean space with index 2

open access: yesOpen Mathematics, 2017
In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves.
İlarslan Kazim   +2 more
doaj   +1 more source

Totally real submanifolds in a complex projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 205-208, 1999., 1999
In this paper, we establish the following result: Let M be an n‐dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or inf r ≤ (3n + 1)(n − 2)/3, where r is the scalar curvature of M.
Liu Ximin
wiley   +1 more source

Real hypersurfaces of type A in quarternionic projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 115-122, 1997., 1995
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

Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton

open access: yesJournal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The present article intends to study the ∗‐conformal η‐Ricci soliton on n‐LPK (n‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n‐LPK, we derive certain results of ∗‐conformal η‐Ricci soliton satisfying the Codazzi‐type equation, R(ξ, L) · S = 0, the projective flatness of the n‐LPK manifold. At last, we conclude with an
Shyam Kishor   +4 more
wiley   +1 more source

Totally real submanifolds of a complex space form

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 39-44, 1996., 1996
Totally real submanifolds of a complex space form are studied. In particular, totally real submanifolds of a complex number space with parallel mean curvature vector are classified.
U-Hang Ki, Young Ho Kim
wiley   +1 more source

Totally Umbilical Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold [PDF]

open access: yes, 2010
2000 Mathematics Subject Classification: 53C40, 53B25.In the present note we study totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold. We have obtained a classification theorem for totally umbilical pseudo-slant submanifolds of
Khan, M. A.   +2 more
core  

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