Geometric inequalities for warped product bi-slant submanifolds with a warping function

In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are al...

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Detalles Bibliográficos
Autores principales: Siddiqui, Aliya Naaz, Shahid, Mohammad Hasan, Lee, Jae Won
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182412/
https://www.ncbi.nlm.nih.gov/pubmed/30363788
http://dx.doi.org/10.1186/s13660-018-1843-3
Descripción
Sumario:In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.

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