Abstract
The $CR$ $\delta$-invariant for $CR$-submanifolds was introduced by B.-Y. Chen in a recent article [13]. In this paper, we prove two new optimal inequalities for anti-holomorphic submanifolds in complex space forms involving the $CR$ $\delta$-invariant. Moreover, we obtain some classification results for certain anti-holomorphic submanifolds in complex space forms which satisfy the equality case of either inequality.
Citation
Falleh R. Al-Solamy. Bang-Yen Chen. Sharief Deshmukh. "TWO OPTIMAL INEQUALITIES FOR ANTI-HOLOMORPHIC SUBMANIFOLDS AND THEIR APPLICATIONS." Taiwanese J. Math. 18 (1) 199 - 217, 2014. https://doi.org/10.11650/tjm.18.2014.3241
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