Ir al contenido

Documat


Conformal semi-invariant Riemannian maps to Kähler manifolds

  • Autores: Mehmet Akif Akyol, Bayram Sahin
  • Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 2, 2019, págs. 459-468
  • Idioma: inglés
  • DOI: 10.33044/revuma.v60n2a12
  • Enlaces
  • Resumen
    • As a generalization of CR-submanifolds and semi-invariant Riemannian maps, we introduce conformal semi-invariant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds. We give non-trivial examples, investigate the geometry of foliations, and obtain decomposition theorems by using the existence of conformal Riemannian maps. We also investigate the harmonicity of such maps and find necessary and sufficient conditions for conformal anti-invariant Riemannian maps to be totally geodesic.

  • Referencias bibliográficas
    • Akyol, M. A., S¸ahin, B., Conformal slant Riemannian maps to K¨ahler manifolds, Tokyo J. Math. 42 (2019), no. 1, 225–237. MR 3982056.
    • Akyol, M. A., S¸ahin, B., Conformal anti-invariant Riemannian maps to K¨ahler manifolds, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl....
    • Baird, P., Wood, J. C., Harmonic morphisms between Riemannian manifolds, Clarendon Press, Oxford, 2003. MR 2044031.
    • Bejancu, A., Geometry of CR-submaniflods, D. Reidel, Dordrecht, 1986. MR 0861408.
    • Chen, B.-Y., Riemannian submanifolds, in Handbook of Differential Geometry, Vol. I, 187– 418, North-Holland, Amsterdam, 2000. MR 1736854.
    • Fischer, A. E., Riemannian maps between Riemannian manifolds, in Mathematical aspects of classical field theory (Seattle, WA, 1991), 331–366,...
    • Nore, T., Second fundamental form of a map, Ann. Mat. Pura Appl. 146 (1987), 281–310. MR 0916696.
    • Panday, B., Jaiswal, J. P., Ojha, R. H., Necessary and sufficient conditions for the Riemannian map to be a harmonic map on cosymplectic manifolds,...
    • Park, K.-S., Almost h-semi-slant Riemannian maps to almost quaternionic Hermitian manifolds. Commun. Contemp. Math. 17 (2015), no. 6, 1550008,...
    • Park, K.-S., S¸ahin, B. Semi-slant Riemannian maps into almost Hermitian manifolds, Czechoslovak Math. J. 64 (2014), no. 4, 1045–1061. MR...
    • Prasad, R., Kumar, S., Slant Riemannian maps from Kenmotsu manifolds into Riemannian manifolds, Global J. Pure Appl. Math. 13 (2017), no....
    • Prasad, R., Pandey, S., Slant Riemannian maps from an almost contact manifold, Filomat 31 (2017), no. 13, 3999–4007. MR 3721333.
    • S¸ahin, B., Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications, Elsevier/Academic Press, London, 2017....
    • S¸ahin, B., Semi-invariant Riemannian maps to K¨ahler manifolds. Int. J. Geom. Methods Mod. Phys. 8 (2011), no. 7, 1439–1454. MR 2873816.
    • S¸ahin, B., Invariant and anti-invariant Riemannian maps to K¨ahler manifolds, Int. J. Geom. Methods Mod. Phys. 7 (2010), no. 3, 337–355....
    • S¸ahin, B., Conformal Riemannian maps between Riemannian manifolds, their harmonicity and decomposition theorems, Acta Appl. Math. 109 (2010),...
    • S¸ahin, B., Yanan, S¸., Conformal Riemannian maps from almost Hermitian manifolds, Turkish J. Math. 42 (2018), no. 5, 2436–2451. MR 3866163.
    • Vˆılcu, G. E., Ruled CR-submanifolds of locally conformal K¨ahler manifolds, J. Geom. Phys. 62 (2012), no. 6, 1366–1372. MR 2911212.
    • Yano, K., Kon, M., Structures on Manifolds, World Scientific, Singapore, 1984. MR 0794310.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno