Results 21 to 30 of about 388 (168)
Compact Totally Real Minimal Submanifolds in a Bochner-Kaehler Manifold
Universal Journal of Mathematics and Applications, 2018 In this paper, we establish the following results: Let $M$ be an $% m-$dimensional compact totally real minimal submanifold immersed in a locally symmetric Bochner-Kaehler manifold $\tilde{M}$ with Ricci curvature bounded from below. Then either $M$ is a
Mehmet Bektaş +2 more
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Isotropic totally real submanifolds
Mathematische Zeitschrift, 1988 The authors study n-dimensional totally real isotropic submanifolds of a complex manifold. A submanifold of a Riemannian manifold is called isotropic [\textit{B. O'Neill}, Can. J. Math. 17, 907-915 (1965; Zbl 0171.205)] if \(\| h(v,v)\|^ 2=\lambda (p),\) where h denotes the second fundamental form, is independent of the unit tangent vector v at the ...
Urbano, Francisco, Montiel, Sebastián
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Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds
International Journal of Mathematics and Mathematical Sciences, 1987 We study totally umbilical CR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally
K. L. Duggal, R. Sharma
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Totally real submanifolds in a complex projective space
International Journal of Mathematics and Mathematical Sciences, 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.
Liu Ximin
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Submanifolds of Euclidean space with parallel mean curvature vector
International Journal of Mathematics and Mathematical Sciences, 1991 The object of the paper is to study some compact submanifolds in the Euclidean space Rn whose mean curvature vector is parallel in the normal bundle.
Tahsin Ghazal, Sharief Deshmukh
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Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
Complex Manifolds, 2019 An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded ...
Ohnita Yoshihiro
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A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
Axioms, 2019 A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
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On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures
International Journal of Mathematics and Mathematical Sciences, 1995 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.
M. Hasan shahid, A. Sharfuddin
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Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form
MathematicsIn the present paper, we investigate some pinching inequalities on the scalar curvature of a totally real submanifold in quaternionic space form that leads to a topological conclusion of the submanifold. In addition, we construct another inequality which
Fatimah Alghamdi, Akram Ali
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Complex Monge–Ampère equations and totally real submanifolds
Advances in Mathematics, 2010 We study the Dirichlet problem for complex Monge-Ampere equations in Hermitian manifolds with general (non-pseudoconvex) boundary. Our main result extends the classical theorem of Caffarelli, Kohn, Nirenberg and Spruck in the flat case. We also consider the equation on compact manifolds without boundary, attempting to generalize Yau's theorems in the ...
Guan, Bo, Li, Qun
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