Harmonic Maps on Kenmotsu Manifolds

Najma Abdul Rehman

doi:10.2478/auom-2013-0052

.blurhash-client-img { display: none !important; }

Harmonic Maps on Kenmotsu Manifolds

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 3 (November 2013)

By: Najma Abdul Rehman

Open Access

|Mar 2014

Abstract

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.

References

[1] D. Chinea, Harmonicity on maps between almost contact metric manifolds, Acta Math. Hungar. 126 (2010), no. 4, 352-362.
Search in Google Scholar
[2] J. Eells, J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-16010.2307/2373037
Search in Google Scholar
[3] B. Fuglede, Harmonic morphisms between Riemannian Manifolds, An- nales de l’ institute Fourier, tome 28, n⁰2 (1978), p.107-144.
Search in Google Scholar
[4] T. Ishihara, A mapping of Riemannian manifolds which preserves harmonic functions J. Math. Kyoto Univ. 19 (1979), 215229.10.1215/kjm/1250522428
Search in Google Scholar
[5] J. Eells and L. Lemaire, Report on harmonic maps, Bull, London Math. Soc. 20 (1988), 385-524.10.1112/blms/20.5.385
Search in Google Scholar
[6] C. Gherghe, Harmonicity on cosymplectic manifolds, Rocky Mountain J.Math. 40, No.6,(2010), 247-254.10.1216/RMJ-2010-40-6-1875
Search in Google Scholar
[7] C. Gherghe, S. Ianus, A. M. Pastore, Harmonic maps, harmonic morphism and stability, Bull. Math. Soc. Sci. Math. Roum. (2000), 1-11.
Search in Google Scholar
[8] P. Gilkey, The spectral geometry of real and complex manifolds, Proc. Sympos. Pure Math.,vol. 27 (1975), pp. 265-280.
Search in Google Scholar
[9] K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. J. 24 (1972), 93-103.10.2748/tmj/1178241594
Search in Google Scholar
[10] Tae Ho Kang, Hyun Suk Kim On the Spectral Geometry for the Jacobi Operators of Harmonic maps into a Sasakian or Cosymplectic Space form, Comm. Korean Math. Soc. 12 (1997), No. 2, pp. 373-382.
Search in Google Scholar
[11] A. Lichnerowicz, Applications harmoniques et varits khleriennes, Sympos. Math. 3 (1970) 341402.
Search in Google Scholar
[12] J. Rawnsley, f -structures, f -twistor spaces and harmonic maps, Lecture Notes in Math., vol. 1164, Springer-Verlag, 1984, pp. 85159.
Search in Google Scholar
[13] S. Tanno, The automorphism groups of almost contact Riemannian manifolds, Thoku Math. J. (2) 21 (1969), 2138.10.2748/tmj/1178243031
Search in Google Scholar
[14] H. Urakawa, Spectral Geometry of the second variation operator of harmonic maps, Illinois J.Math., vol.3, no. 2, 1989.10.1215/ijm/1255988723
Search in Google Scholar
[15] K. Yano and M. Kon, Structures on manifolds, vol. 3, Series in pure Math., World Scientific, Singapore, 1984. 10.1142/0067
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/auom-2013-0052 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

Journal RSS Feed

Language: English

Page range: 197 - 208

Published on: Mar 5, 2014

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Kenmotsu Manifolds,

holomorphic map,

harmonic map,spectral theory

Related subjects:

Mathematics,

General mathematics

© 2014 Najma Abdul Rehman, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.

Volume 21 (2013): Issue 3 (November 2013)