Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
Open Mathematics, 2022 In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem +3 more
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Translation of: Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques, Mathematische Zeitschrift 45, 335–367 (1939), by Élie Cartan. [PDF]
, 2023 English title: On remarkable families of isoparametric hypersurfaces in spherical spaces This is an English translation of the article Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques, which was originally ...
Cecil, Thomas E.
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Translation of: Sur quelque familles remarquables d’hypersurfaces, C.R. Congrès Math. Liège, 1939, pp. 30–41, by Élie Cartan. [PDF]
, 2023 English title: On some remarkable families of hypersurfaces This is an English translation of the article Sur quelque familles remarquables d’hypersurfaces which was originally published in C.R. Congrès Math. Liège, pp. 30–41 (1939), by Élie Cartan.
Cecil, Thomas E.
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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
wiley +1 more source
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
wiley +1 more source
Linear Weingarten factorable surfaces in isotropic spaces [PDF]
, 2017 In this paper, we deal with a certain factorable surface in the isotropic 3-space satisfying aK +bH = c, where K is the relative curvature, H the isotropic mean curvature and a, b, c ∈ R. We obtain a complete classification for such surfaces.
OGRENMIS, Alper Osman +1 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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A study of tube-like surfaces according to type 2 Bishop frame in Euclidean space [PDF]
, 2017 The main goal of this paper is the study of the classical differential geometry of a special kind of tube surfaces, so-called tube-like surface in 3- dimensional Euclidean space E3.
ABDEL-AZIZ , Hossam S.
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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
wiley +1 more source
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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