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arXiv · 1106.3674

Geometry of PR-warped products in para-Kaehler manifolds

Bang-Yen Chen·Marian Ioan Munteanu
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Abstract

In this paper, we initiate the study of $\p R$-warped products in para-Kähler manifolds and prove some fundamental results on such submanifolds. In particular, we establish a general optimal inequality for $\p R$-warped products in para-Kähler manifolds involving only the warping function and the second fundamental form. Moreover, we completely classify $\p R$-warped products in the flat para-Kähler manifold with least codimension which satisfy the equality case of the inequality.

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BibTeXRIS

Bang-Yen Chen, Marian Ioan Munteanu. 2011-06-18. Geometry of PR-warped products in para-Kaehler manifolds. https://arxiv.org/abs/1106.3674

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