Pluriharmonic conformal bi-slant Riemannian maps

Yıl 2022, , 1 - 12, 30.06.2022

Şener Yanan

https://doi.org/10.46572/naturengs.1082785

Cited By: 2

Öz

In this study, notion of pluriharmonic map applied onto conformal bi-slant Riemannian maps from a Kaehler manifold to a Riemannian manifold to examine its geometric properties. Such that, relations between pluriharmonic map, horizontally homothetic map and totally geodesic map were obtained.

Anahtar Kelimeler

Riemannian map, conformal Riemannian map, conformal bi-slant Riemannian map, pluriharmonic map

Kaynakça

• 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. Turk. J. Math., 45: 1705-1723.
• Baird, P., Wood, J.C. (2003). Harmonic Morphisms between Riemannian Manifolds, Clarendon Press, Oxford.
• Falcitelli, M., Ianus S., Pastore, A.M. (2004). Riemannian Submersions and Related Topics, World Scientific.
• Fischer, A.E. (1992). Riemannian maps between Riemannian manifolds. Contemp. Math., 132: 331-366.
• Gray, A. (1967). Pseudo-Riemannian almost product manifolds and submersions. J. Math. Mech., 16(7): 715- 737.
• Nore, T. (1986). Second fundamental form of a map. Ann. di Mat. Pura ed Appl., 146: 281-310.
• Ohnita, Y. (1987). On pluriharmonicity of stable harmonic maps, Jour. London Math. Soc., s2-35(3): 563-587.
• O’Neill, B. (1966). The fundamental equations of a submersion. Michigan Math. J., 13: 458-469.
• Şahin, B. (2010). Conformal Riemannian maps between Riemannian manifolds, their harmonicity and decomposition theorems. Acta Appl. Math., 109(3): 829-847.
• Şahin, B. (2017). Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and Their Applications, Academic Press, Elsevier.
• Şahin, B., Yanan, Ş. (2018). Conformal Riemannian maps from almost Hermitian manifolds. Turk. J. Math., 42(5): 2436-2451.
• Şahin, B., Yanan, Ş. (2019). Conformal semi-invariant Riemannian maps from almost Hermitian manifolds. Filomat, 33(4): 1125-1134.
• Watson, B. (1976). Almost Hermitian submersions. J. Differ. Geom., 11(1): 147-165.
• Yanan, Ş. (2021). Conformal generic Riemannian maps from almost Hermitian manifolds. TJOS, 6(2): 76-88.
• Yanan, Ş. (2022). Conformal hemi-slant Riemannian maps. FCMS, 3(1): 57-74.
• Yanan, Ş. (2022). Conformal semi-slant Riemannian maps from almost Hermitian manifolds onto Riemannian manifolds. Filomat, 36(5).
• Yanan, Ş., Şahin, B. (2022). Conformal slant Riemannian maps. Int. J. Maps Math., 5(1): 78-100.
• Yano, K., Kon, M. (1984). Structures on Manifolds, World Scientific.