Results 11 to 20 of about 475 (36)

B.‐Y. Chen inequalities for semislant submanifolds in Sasakian space forms

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1731-1738, 2003., 2003
Chen (1993) established a sharp inequality for the sectional curvature of a submanifold in Riemannian space forms in terms of the scalar curvature and squared mean curvature. The notion of a semislant submanifold of a Sasakian manifold was introduced by J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, and M. Fernandez (1999).
Dragoş Cioroboiu
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Constant mean curvature hypersurfaces with constant δ‐invariant

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 67, Page 4205-4216, 2003., 2003
We completely classify constant mean curvature hypersurfaces (CMC) with constant δ‐invariant in the unit 4‐sphere S4 and in the Euclidean 4‐space 𝔼4.
Bang-Yen Chen, Oscar J. Garay
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On sectional and bisectional curvature of the H‐umbilical submanifolds

International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 1, Page 17-27, 2002., 2002
Let M be an H‐umbilical submanifold of an almost Hermitian manifold M˜. Some relations expressing the difference of bisectional and of sectional curvatures of M˜ and of M are obtained. The geometric notion of related bases for a pair of oriented planes permits to write the second members in a completely geometrical form.
S. Ianus, G. B. Rizza
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Totally real submanifolds of a complex space form

International 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
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On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 331-340, 1995., 1993
The study of CR‐submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR‐submanifolds of a Kähler manifold. Also, it has been studied that generic submanifolds of Kähler manifolds [2] are generalisations of holomorphic submanifolds, totally real submanifolds and CR‐submanifolds of Kähler manifolds.
M. Hasan shahid, A. Sharfuddin
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CR‐submanifolds of a locally conformal Kaehler space form

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 511-514, 1994., 1992
(Bejancu [1,2]) The purpose of this paper is to continue the study of CR‐submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]). Some results on the holomorphic sectional curvature, D‐totally geodesic, D1‐totally geodesic and D1‐minimal CR‐submanifolds of locally conformal Kaehler (1.c.k.)‐space from are ...
M. Hasan Shahid
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Mixed foliate CR‐submanifolds in a complex hyperbolic space are non‐proper

International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 507-515, 1988., 1988
It was conjectured in [1 II] (also in [2]) that mixed foliate CR‐submanifolds in a complex hyperbolic space are either complex submanifolds or totally real submanifolds. In this paper we give an affirmative solution to this conjecture.
Bang-Yen Chen, Bao-Qiang Wu
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Pseudo‐Sasakian manifolds endowed with a contact conformal connection

International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 733-747, 1986., 1986
Pseudo‐Sasakian manifolds endowed with a contact conformal connection are defined. It is proved that such manifolds are space forms , K < 0, and some remarkable properties of the Lie algebra of infinitesimal transformations of the principal vector field on are discussed.
Vladislav V. Goldberg, Radu Rosca
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On locally conformal Kähler space forms

International 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
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On contact CR‐submanifolds of sasakian manifolds

International 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
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