Results 31 to 40 of about 390 (190)
Topological invariants and Holomorphic Mappings
Comptes Rendus. Mathématique, 2022 Invariants for Riemann surfaces covered by the disc and for hyperbolic manifolds in general involving minimizing the measure of the image over the homotopy and homology classes of closed curves and maps of the $k$-sphere into the manifold are ...
Greene, Robert E. +2 more
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Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds
Mathematics, 2023 Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B2×
Siraj Uddin, Bang-Yen Chen, Rawan Bossly
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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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On the three-dimensional CR-submanifolds of the six-dimensional sphere
International Journal of Mathematics and Mathematical Sciences, 1991 We show that the six-dimensional sphere does not admit three-dimensionel totally umbilical proper CR-submanifolds.
M. A. Bashir
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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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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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Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
International Journal of Mathematics and Mathematical Sciences, 1988 It was conjectured in [1 II] (also in [2]) that mixed foliate CR-submanifolds in a complex hyperbolic space are either complex submanifolds or totally real submanifolds. In this paper we give an affirmative solution to this conjecture.
Bang-Yen Chen, Bao-Qiang Wu
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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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Journal of Inequalities and Applications, 2020 In the present, we first obtain Chen–Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary ...
Akram Ali +3 more
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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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