Publication: Riemannian warped product submersions
Abstract
In this paper, we introduce Riemannian warped product submersions and construct examples and give fundamental geometric properties of such submersions. On the other hand, a necessary and sufficient condition for a Riemannian warped product submersion to be totally geodesic, totally umbilic and minimal is given.
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Keywords
Riemannian immersion, Riemannian submersion, Warped product, Primary 53b20, 53c17, 53c42, 53c55, Science & technology, Physical sciences, Mathematics, applied, Mathematics
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