Results 11 to 20 of about 485 (38)
Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]
, 2003 It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
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On submanifolds whose shape operator is unipotent [PDF]
, 2006 The object of this article is to characterize submanifolds of the Euclidean space whose shape operator is ...
Di Scala, Antonio Jose'
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Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]
, 2013 In the paper we investigate submanifolds in a tangent bundle endowed with g-natural metric G, defined by a vector field on a base manifold. We give a sufficient condition for a vector field on M to defined totally geodesic submanifold in (TM,G).
Ewert-Krzemieniewski, Stanisław
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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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Weak helix submanifolds of euclidean spaces [PDF]
, 2009 It is shown that there exist nonstrong weak 2-helix surfaces of ...
A.J. Di Scala +7 more
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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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