Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1911-82
Keywords
Riemannian submersion, planar geodesic immersion, isotropic submersion, isotropic immersion
First Page
2284
Last Page
2296
Recommended Citation
ERDOĞAN, F. E, & ŞAHİN, B (2020). Isotropic Riemannian submersions. Turkish Journal of Mathematics 44 (6): 2284-2296. https://doi.org/10.3906/mat-1911-82
