Conformal Riemannian maps from almost Hermitian manifolds
Makaleler > Tam Makale · 2018
Yazarlar: Bayram ŞAHİN, Sener Yanan
TURKISH JOURNAL OF MATHEMATICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2018, cilt 42, ss 2436-2451
DOI: 10.3906/mat-1711-34
Özet
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.