(a, 1)f structures on product of spheres

2007/11/05 by Hretcanu, Cristina-Elena, Crasmareanu, Mircea
#53B25 #53C15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0711.0595

Abstract

Our aim in this paper is to give some examples of (a, 1)f Riemannian structures (a generalization of an r-paracontact structure) induced on product of spheres of codimension r (r ∈ \1,2\ ) in an m-dimensional Euclidean space (m>2), endowed with an almost product structure.

Related

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• Induced structures on submanifolds in almost product Riemannian manifolds
• Orthogonal almost complex structures on the Riemannian products of even-dimensional round spheres
• Lifts of Almost r-Contact and r-Paracontact Structures
• On the Relation Between G₂^* Structures and Almost Paracontact Structures