Research Article

Conformal Quasi-Hemi-Slant Riemannian Maps

Volume: 5 Number: 2 June 30, 2022
EN

Conformal Quasi-Hemi-Slant Riemannian Maps

Abstract

In this paper, we state some geometric properties of conformal quasi-hemi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give necessary and sufficient conditions for certain distributions to be integrable and get examples. For such distributions, we examine which conditions define totally geodesic foliations on base manifold. In addition, we apply notion of pluriharmonicity to get some relations between horizontally homothetic maps and conformal quasi-hemi-slant Riemannian maps.

Keywords

Riemannian map, conformal Riemannian map, conformal quasi-hemi-slant Riemannian map

References

  1. [1] M. A. Akyol, Conformal semi-slant submersions, Int. J. Geom, 14(7) (2017), 1750114.
  2. [2] M. A. Akyol, B. S¸ ahin, Conformal anti-invariant submersions from almost Hermitian manifolds, Turk. J. Math., 40(1) (2016), 43-70.
  3. [3] M. A. Akyol, B. S¸ ahin, Conformal semi-invariant submersions, Commun. Contemp. Math., 19(2) (2017), 1650011.
  4. [4] M. A. Akyol, B. S¸ ahin, Conformal slant submersions, Hacettepe J. Math. Stat., 48(1) (2019), 28-44.
  5. [5] P. Baird, J. C. Wood, Harmonic Morphism between Riemannian Manifolds, Clarendon Press, Oxford, 2003.
  6. [6] B. Y. Chen, Riemannian Submanifolds. Handbook of Differential Geometry, North-Holland, Amsterdam, 2000.
  7. [7] M. Falcitelli, S. Ianus, A. M. Pastore, Riemannian submersions and related topics, World Scientific, NJ, 2004.
  8. [8] A. E. Fischer, Riemannian maps between Riemannian manifolds, Contemp. Math., 132 (1992), 331-366.
  9. [9] E. Garcia-Rio, D. N. Kupeli, Semi-Riemannian Maps and Their Applications, Kluwer Academic, Dordrecht, 1999.
  10. [10] A. Gray, Pseudo-Riemannian almost product manifolds and submersions, Appl. Math. Mech., 16(7) (1967), 715-737.
APA
Yanan, Ş. (2022). Conformal Quasi-Hemi-Slant Riemannian Maps. Communications in Advanced Mathematical Sciences, 5(2), 99-113. https://doi.org/10.33434/cams.1084830
AMA
1.Yanan Ş. Conformal Quasi-Hemi-Slant Riemannian Maps. Communications in Advanced Mathematical Sciences. 2022;5(2):99-113. doi:10.33434/cams.1084830
Chicago
Yanan, Şener. 2022. “Conformal Quasi-Hemi-Slant Riemannian Maps”. Communications in Advanced Mathematical Sciences 5 (2): 99-113. https://doi.org/10.33434/cams.1084830.
EndNote
Yanan Ş (June 1, 2022) Conformal Quasi-Hemi-Slant Riemannian Maps. Communications in Advanced Mathematical Sciences 5 2 99–113.
IEEE
[1]Ş. Yanan, “Conformal Quasi-Hemi-Slant Riemannian Maps”, Communications in Advanced Mathematical Sciences, vol. 5, no. 2, pp. 99–113, June 2022, doi: 10.33434/cams.1084830.
ISNAD
Yanan, Şener. “Conformal Quasi-Hemi-Slant Riemannian Maps”. Communications in Advanced Mathematical Sciences 5/2 (June 1, 2022): 99-113. https://doi.org/10.33434/cams.1084830.
JAMA
1.Yanan Ş. Conformal Quasi-Hemi-Slant Riemannian Maps. Communications in Advanced Mathematical Sciences. 2022;5:99–113.
MLA
Yanan, Şener. “Conformal Quasi-Hemi-Slant Riemannian Maps”. Communications in Advanced Mathematical Sciences, vol. 5, no. 2, June 2022, pp. 99-113, doi:10.33434/cams.1084830.
Vancouver
1.Şener Yanan. Conformal Quasi-Hemi-Slant Riemannian Maps. Communications in Advanced Mathematical Sciences. 2022 Jun. 1;5(2):99-113. doi:10.33434/cams.1084830