PR-anti-slant warped product submanifold of a nearly paracosymplectic manifold

2015/10/06 by Srivastava, S. K., Sharma, A., Tiwari, S. K.
#53B25 #53B30 #53C25 #53D15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.02044

Abstract

In this paper, we study PR-anti-slant warped product submanifold of a nearly paracosymplectic manifold \widetildeM. The necessary and sufficient condition is obtained for the distributions allied to the characterization of a PR-anti-slant submanifold being integrable and totally geodesic foliation. In addition, we have defined PR-anti-slant warped product submanifold of \widetildeM and gave some illustrations. Finally, we extracted the constraints for a submanifold of \widetildeM to be a PR-anti-slant warped product of the form F×_fN_λ.

Related

• Warped product submanifolds of Lorentzian paracosymplectic manifolds
• Pointwise Semi-Slant Warped Product Submanifold in a Lorentzian Paracosymplectic Manifold
• On the Generalized Class of PR-warped product submanifolds in para-Kähler Manifolds
• Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds
• Characterization of warped product submanifolds of Lorentzian concircular structure Manifolds