Conformal Riemannian maps from almost Hermitian manifolds

Authors

BAYRAM ŞAHİN
ŞENER YANAN

DOI

10.3906/mat-1711-34

Abstract

Conformal Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, namely conformal invariant Riemannian maps, holomorphic conformal Riemannian maps, and conformal antiinvariant Riemannian maps, are introduced. We mainly focus on conformal antiinvariant Riemannian maps from Kaehlerian manifolds. We give proper examples of conformal antiinvariant Riemannian maps, obtain the integrability of certain distributions, and investigate the geometry of leaves of these distributions. We also obtain various conditions for such maps to be horizontally homothetic maps.

Keywords

Riemannian submersion, Riemannian map, Kaehlerian manifold, conformal holomorphic Riemannian map, conformal antiinvariant Riemannian map

First Page

2436

Last Page

2451

Recommended Citation

ŞAHİN, BAYRAM and YANAN, ŞENER (2018) "Conformal Riemannian maps from almost Hermitian manifolds," Turkish Journal of Mathematics: Vol. 42: No. 5, Article 27. https://doi.org/10.3906/mat-1711-34
Available at: https://journals.tubitak.gov.tr/math/vol42/iss5/27