Biwarped product submanifolds of a Kähler manifold
Biwarped product submanifolds of a Kähler manifold
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Kähler 流形的双扭曲产品子流形
DOI：
10.2298/fil1807349t
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
H. Taṣtan
中科院分区：
文献类型：
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作者：
H. Taṣtan
我们研究双扭曲乘积子流形，它是卡勒流形中多重扭曲乘积子流形的特例。我们观察到在某些情况下不存在这样的子流形。我们给出了某种类型的双扭曲乘积子流形的示例，并研究了此类子流形的第二种基本形式的行为。我们还给出了此类子流形局部平凡的充分必要条件。此外，我们根据此类子流形的扭曲函数建立了第二基本形式的平方范数的不等式。还讨论了平等案例。
We study biwarped product submanifolds which are special cases of multiply warped product submanifolds in Kahler manifolds. We observe the non-existence of such submanifolds under some circumstances. We give an illustrate example for a biwarped product submanifold of a certain type and investigate the behavior of the second fundamental form of such a submanifold. We also give a necessary and sufficient condition for such submanifolds to be locally trivial. Moreover, we establish an inequality for the squared norm of the second fundamental form in terms of the warping functions for such submanifolds. The equality case is also discussed.