Results 1 to 10 of about 368 (148)
Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms [PDF]
Entropy, 2021 The purpose of this article is to establish some inequalities concerning the normalized δ-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the ...
Bang-Yen Chen +2 more
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Totally Real Statistical Submanifolds
Interdisciplinary Information Sciences, 2015 Summary: We prove that a semi-parallel totally real statistical submanifold with some natural conditions is totally geodesic if it is of non zero constant curvature, which is corresponding to the Kassabov theorem in the submanifold theory of Kähler manifolds.
Mirjana Milijević
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Totally Real Submanifolds with Nonnegative Sectional Curvature [PDF]
Proceedings of the American Mathematical Society, 1986 We prove that an n n -dimensional compact totally real submanifold immersed in an n n -dimensional complex space form with parallel mean curvature vector and nonnegative sectional curvature has parallel second fundamental form. Combining our result and Naitoh’s works we obtain the classification of such submanifolds.
Yoshihiro Ohnita
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Homogeneous totally real submanifolds of $S^{6}$ [PDF]
Tsukuba Journal of Mathematics, 1985 Let \(S^ 6\) be the 6-dimensional unit sphere in the 7-dimensional Euclidean space \(R^ 7\). The exceptional simple Lie group \(G_ 2\) operates transitively on \(S^ 6\). There exists essentially a unique \(G_ 2\) invariant almost complex structure J on \(S^ 6\). Therefore it has a meaning to study totally real 3-dimensional submanifolds of \((S^ 6,J)\).
Katsuya Mashimo
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Totally real submanifolds in a 6-sphere [PDF]
Proceedings of the American Mathematical Society, 1981 A 6 6 -dimensional sphere S 6 {S^6} has an almost complex structure induced by properties of Cayley algebra. We investigate 3 3 -dimensional totally real submanifolds in S 6 {S^6} and classify 3 3
Norio Ejiri
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Totally real submanifolds of (LCS)n-manifolds [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2018 The present paper deals with the study of totally real submanifolds and C-totally real submanifolds of (LCS)n-manifolds withrespect to Levi-Civita connection as well as quarter symmetric metric connection. It is proved that scalar curvature of C-totally real submanifolds of (LCS)n-manifold with respect to both the said connections are same.
Shyamal Kumar Hui, Tanumoy Pal
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On totally real statistical submanifolds
Filomat, 2018 In the present paper, first we prove some results by using fundamental properties of totally real statistical submanifolds immersed into holomorphic statistical manifolds. Further, we obtain the generalizedWintgen inequality for Lagrangian statistical submanifolds of holomorphic statistical manifolds with constant holomorphic sectional ...
Aliya Naaz Sıddıquı +1 more
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Totally real minimal submanifolds of a complex projective space [PDF]
Proceedings of the American Mathematical Society, 1985 An n n -dimensional positively curved compact totally real minimal submanifold of an n n -dimensional complex projective space is totally geodesic.
Francisco Urbano
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C-totally real warped product submanifolds
Annals of the Alexandru Ioan Cuza University - Mathematics, 2012 15 ...
Mukut Mani Tripathi
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Totally Real Submanifolds in a Quaternion Projective Space [PDF]
Tokyo Journal of Mathematics, 1996 Let \(M\) be an \(n\)-dimensional compact totally real minimal submanifold in the quaternionic projective space \(QP^n(c)\) of constant quaternionic sectional curvature \(c\). Denote by \(\rho\) the scalar curvature of \(M\), by \(\sigma\) the second fundamental form of \(M\), and by \(K_c\) and \(Q\) the functions assigning to each point \(p\in M ...
Шичанг Шу
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