Compact Totally Real Minimal Submanifolds in a Bochner-Kaehler Manifold
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 totally geodesic or \begin{equation*} \inf r\...
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| Published in: | Universal journal of mathematics and applications Vol. 1; no. 4; pp. 254 - 257 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Emrah Evren KARA
20-12-2018
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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 totally geodesic or \begin{equation*} \inf r\leq \frac{1}{2}\left( \frac{1}{2}m\left( m-1\right) \tilde{k}-\frac{1% }{3}\left( m+1\right) \tilde{c}\right), \end{equation*}% where $r$ is the scalar curvature of $M.$ |
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| ISSN: | 2619-9653 2619-9653 |
| DOI: | 10.32323/ujma.422271 |