Isotropic Riemannian submersions

Authors: FEYZA ESRA ERDOĞAN, BAYRAM ŞAHİN

Abstract: In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first give examples to illustrate this new notion. Then we express a characterization in terms of O'Neill's tensor field T and examine certain relations between sectional curvatures of the total manifold and the base manifold. We also study $\lambda$-isotropic submersions with pointwise planar horizontal sections.

Keywords: Riemannian submersion, planar geodesic immersion, isotropic submersion, isotropic immersion

Full Text: PDF