Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces
In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ωp+q in the hyperbolic space ℍm−1 satisfy various extrinsic restrictions, then Ωp+q has no stable integral currents, and its homology groups are trivial. Also, we prove that the...
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| Main Authors: | Yanlin Li, Akram Ali, Fatemah Mofarreh, Nadia Alluhaibi |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/8554738 |
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