Scalar Curvature and Real Submanifolds of Codimension 2 of a Complex Projective Space.
Masafumi Okumura (1986)
Mathematische Zeitschrift
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Displaying similar documents to “Totally real minimal submanifolds in a quaternion projective space”
Scalar Curvature and Real Submanifolds of Codimension 2 of a Complex Projective Space.
Totally real submanifolds in a quaternion space form
Mehmet Bektaş (2004)
Czechoslovak Mathematical Journal
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In this paper, we prove a theorem for -dimensional totally real minimal submanifold immersed in quaternion space form.
On totally real minimal submanifolds in complex projective space
Xiaoli Chao, Yaowen Li (2005)
Archivum Mathematicum
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In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.
Curvature Pinching and Eigenvalue Rigidity for Minimal Submanifolds.
Sebastián Montiel, A. Ros, F. Urbano (1986)
Mathematische Zeitschrift
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Curvature Pinching for Odd-dimensional Minimal Submanifolds in a Sphere
Li Haizhong (1993)
Publications de l'Institut Mathématique
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Complete space-like submanifolds with constant scalar curvature in a de Sitter space.
Shichang, Shu, Sanyang, Liu (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Totally real submanifolds in a complex projective space.
Liu, Ximin (1999)
International Journal of Mathematics and Mathematical Sciences
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-totally real submanifolds of satisfying a certain inequality.
Cioroboiu, Dragoş (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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The Ricci curvature of totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere.
Li, Haizhong (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Conformal nullity of isotropic submanifolds
Vladimir Rovenski (2005)
Annales Polonici Mathematici
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We introduce and study submanifolds with extrinsic curvature and second fundamental form related by an inequality that holds for isotropic submanifolds and becomes equality for totally umbilical submanifolds. The dimension of umbilical subspaces and the index of conformal nullity of these submanifolds with low codimension are estimated from below. The corollaries are characterizations of extrinsic spheres in Riemannian spaces of positive curvature.