A study on curvature relations of conformal generic submersions

Abstract

The present paper enlighten us with the study of the conformal generic submersion whose total space is locally product Riemannian manifold. We investigate;the geometry of the foliations arisen from the definition of conformal generic submersion and provided some decomposition theorem for the total space of the submersion. Meanwhile, harmonicity of conformal generic submersion is also discussed. We mainly established relations between the sectional curvatures of fibres, total space and base manifold and discussed the related consequences. A non-trivial example have also been discussed to make the content wrth.