Turkish Journal of Mathematics
DOI
10.3906/mat-1911-82
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
First Page
2284
Last Page
2296
Recommended Citation
ERDOĞAN, FEYZA ESRA and ŞAHİN, BAYRAM
(2020)
"Isotropic Riemannian submersions,"
Turkish Journal of Mathematics: Vol. 44:
No.
6, Article 22.
https://doi.org/10.3906/mat-1911-82
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss6/22
