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Dergiler / Universal Journal of Mathematics and Applications / 2018 / Cilt: 1 - Sayı: 4

Compact Totally Real Minimal Submanifolds in a Bochner-Kaehler Manifold

Zühal KÜÇÜKARSLAN YÜZBAŞI
Mehmet BEKTAŞ
Münevver YILDIRIM YILMAZ
Sayfa
254–257
Yayın Tarihi
2018-12-20
DOI
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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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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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 $M.$
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bochner-Kaehler manifold · Ricci curvature

Abstract

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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Bu Makaleye Atıf Yap

YÜZBAŞI, Z. K., BEKTAŞ, M., YILMAZ, M. Y. (2018). Compact Totally Real Minimal Submanifolds in a Bochner-Kaehler Manifold. Universal Journal of Mathematics and Applications, Cilt: 1 - Sayı: 4, 254–257. https://ajindex.com/articles/819988

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Kaynakça (9)

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