Conformal bi-slant Riemannian maps
Conformal bi-slant Riemannian maps
In this study, conformal bi-slant Riemannian maps from an almost Hermitian manifold to a Riemannian manifold are defined. Integrability conditions of certain distributions on total manifolds are examined. Also, we studied that under which conditions, the distributions can define a totally geodesic foliation.
Keywords:
conformal map, conformal Riemannian map submersion,
___
- AYKURT SEPET, S. (2020). Pointwise bi-slant submersions. Celal Bayar University Journal of Science, 16(3), 339-343.
- AYKURT SEPET, S. (2021). Conformal bi-slant submersions. Turkish Journal of Mathematics, 45, 1705-1723.
- BAIRD, P., WOOD, J.C. (2003). Harmonic Morphisms between Riemannian manifolds, Oxford University Press.
- FALCITELLI, M., IANUS S., PASTORE, A.M. (2004). Rimannian Submersions and Related Topics, World Scientific.
- FISCHER, A.E. (1992). Riemannian maps between Riemannian manifolds. Contemporary Mathematics, 132, 331-366.
- GRAY, A. (1967). Pseudo-Riemannian almost product manifolds and submersions. Journal of Mathematics and Mechanics, 16(7), 715-737.
- NORE, T. (1986). Second fundamental form of a map. Annali di Matematica Pura ed Applicata, 146, 281-310.
- O’NEILL, B., (1966). The fundamental equations of a submersion. Michigan Mathematical Journal, 13, 458-469.
- ŞAHİN, B. (2010). Conformal Riemannian maps between Riemannian manifolds, their harmonicity and decomposition theorems. Acta Applicandae Mathematicae, 109(3), 829-847.
- ŞAHİN, B. (2017). Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and Their Applications, Academic Press, Elsevier.
- ŞAHİN, B., YANAN, Ş. (2018). Conformal Riemannian maps from almost Hermitian manifolds. Turkish Journal of Mathematics, 42(5), 2436-2451.
- ŞAHİN, B., YANAN, Ş. (2019). Conformal semi-invariant Riemannian maps from almost Hermitian manifolds. Filomat, 33(4), 1125-1134.
- WATSON, B. (1976). Almost Hermitian submersions. Journal of Differential Geometry, 11(1), 147-165.
- YANAN, Ş. (2021). Conformal generic Riemannian maps from almost Hermitian manifolds. Turkish Journal of Science, 6(2), 76-88.
- YANAN, Ş. (2022a). Conformal hemi-slant Riemannian maps. Fundamentals of Contemporary Mathematical Sciences, 3(1), 57-74.
- YANAN, Ş. (2022b). Conformal semi-slant Riemannian maps from almost Hermitian manifolds onto Riemannian manifolds. Filomat, 35(6).
- YANAN, Ş., ŞAHİN, B. (2022c). Conformal slant Riemannian maps. International Journal of Maps in Mathematics, accepted.
- YANO, K., KON, M. (1984). Structures on manifolds, World Scientific.
- ISSN: 2149-6137
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2015
- Yayıncı: Ağrı İbrahim Çeçen Üniversitesi