Results 21 to 30 of about 363 (68)
Global pinching theorems of submanifolds in spheres
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 3, Page 183-191, 2002., 2002 Let M be a compact embedded submanifold with parallel mean curvature vector and positive Ricci curvature in the unit sphere S n+p(n ≥ 2 , p ≥ 1). By using the Sobolev inequalities of P. Li (1980) to Lp estimate for the square length σ of the second fundamental form and the norm of a tensor Φ, related to the second fundamental form, we set up some ...
Kairen Cai
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On hypersurfaces in a locally affine Riemannian Banach manifold
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 6, Page 375-379, 2002., 2002 We prove that an essential hypersurface of second order in an infinite dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
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CR‐submanifolds of a nearly trans‐Sasakian manifold
International 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
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Issues of Analysis, 2018 In this paper, we study generic lightlike submanifolds of an indefinite Kaehler manifold M . We provide several new results on such a generic lightlike submanifold M equipped with an induced structure tensor F on M induced by the almost complex structure
D. Jin, J. Lee
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Submanifolds of F‐structure manifold satisfying FK + (−)K+1F = 0
International 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
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On Chen invariants and inequalities in quaternionic geometry
, 2013 In this paper we give a survey of main results concerning Chen inequalities for submanifolds in quaternionic space forms and propose some open problems in the field for further research.AMS Subject Classification:53C15, 53C25, 53C40.
G. Vîlcu
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On real hypersurfaces in quaternionic projective space with 𝒟⊥‐recurrent second fundamental tensor
International 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
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Osculating curves in 4-dimensional semi-Euclidean space with index 2
Open 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
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Totally real submanifolds in a complex projective space
International 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
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Real hypersurfaces of type A in quarternionic projective space
International 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
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