Research Article
Year 2016,
Volume: 4 Issue: 3, 129 - 139, 30.09.2016
Abstract
In this paper we study biharmonic maps on Kenmotsu manifolds.
An example for biharmonic map of a three-Kenmotsu manifold is constructed for
illustration.
Keywords
References
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- P. Baird and J. Eells, A conservation law for harmonic maps, Lecture Notes in Math. 894, Springer, 1-25, (1981).
- P.Baird, A. Fardoun and S. Ouakkas, Conformal and semi-conformal biharmonic maps, Ann. Glob Anal Geom 34, 403-414 (2008).
- P. Baird and D. Kamissoko, On constructing biharmonic maps and metrics, Annals of Global Analysis and Geometry 23, 65-75, (2003).
- P. Baird and J.C. Wood, Harmonic morphisms between Riemannain manifolds, Oxford Sciences Publications (2003).
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- J. Eells and L. Lemaire, Another report on harmonic maps, Bull. London Math. Soc. 20, 385-524, (1988).
- J. Eells and L. Lemaire, Selected topics in harmonic maps, CNMS Regional Conference Series of the National Sciences Foundation, November 1981.
- J. Eells and A. Ratto, Harmonic Maps and Minimal Immersions with Symmetries, Princeton University Press 1993.
- G. Y. Jiang, 2-harmonic maps and their first and second variational formulas, Chinese Ann. Math. Ser. A 7, 389-402, (1986).
- J.B Jun, U.C. De and G. Pathak, On Kenmotsu Manifolds, J. Korean Math. Soc. 42, No. 3, 435-445, (2005).
- K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. J. II Ser. 24, 93-103, (1972).
- A. Najma, Harmonic Maps on Kenmotsu Manifolds, An. St. Univ. Ovidius Constanta. Vol. 21(3), 197-208, 2013.
- C. Oniciuc, New examples of biharmonic maps in spheres, Colloq. Math., 97, 131-139, (2003).
- Ouakkas, S, Biharmonic maps, conformal deformations and the Hopf maps, Diff. Geom. Appl, 26, 495-502, (2008).
- Y.-L. Ou, p-harmonic morphisms, biharmonic morphisms, and non-harmonic biharmonic maps, J. Geom. Phys. Volume 56, 3, 358-374, (2006).
- G. Pitis¸, Geometry of Kenmotsu manifolds, Publishing House of Transilvania University of Bra¸sov, Bra¸sov, (2007).
- K. Yano and M. Kon, Structures on manifolds, vol. 3, Series in pure Math., World Scientifc, Singapore, 1984.
Year 2016,
Volume: 4 Issue: 3, 129 - 139, 30.09.2016
Abstract
References
- P. Baird, Harmonic maps with symmetry, harmonic morphisms and deformation of metrics, Pitman Books Limited, 27-39, (1983).
- P. Baird and J. Eells, A conservation law for harmonic maps, Lecture Notes in Math. 894, Springer, 1-25, (1981).
- P.Baird, A. Fardoun and S. Ouakkas, Conformal and semi-conformal biharmonic maps, Ann. Glob Anal Geom 34, 403-414 (2008).
- P. Baird and D. Kamissoko, On constructing biharmonic maps and metrics, Annals of Global Analysis and Geometry 23, 65-75, (2003).
- P. Baird and J.C. Wood, Harmonic morphisms between Riemannain manifolds, Oxford Sciences Publications (2003).
- A. Balmus, Biharmonic properties and conformal changes, An. Stiint. Univ. Al.I. Cuza Iasi Mat. (N.S.) 50, 367-372, (2004).
- D.E. Blair, Riemannian geometry of contact and Symplectic Manifolds, Birkhauser. Boston, Second Edition (2010).
- U.C.De and G. Pathok, On 3-dimensional Kenmotsu manifolds, Indian J. Pure Appl. Math. 35, 159-165, (2004).
- J. Eells and L. Lemaire, A report on harmonic maps, Bull. London Math. Soc. 16, 1-68, (1978).
- J. Eells and L. Lemaire, Another report on harmonic maps, Bull. London Math. Soc. 20, 385-524, (1988).
- J. Eells and L. Lemaire, Selected topics in harmonic maps, CNMS Regional Conference Series of the National Sciences Foundation, November 1981.
- J. Eells and A. Ratto, Harmonic Maps and Minimal Immersions with Symmetries, Princeton University Press 1993.
- G. Y. Jiang, 2-harmonic maps and their first and second variational formulas, Chinese Ann. Math. Ser. A 7, 389-402, (1986).
- J.B Jun, U.C. De and G. Pathak, On Kenmotsu Manifolds, J. Korean Math. Soc. 42, No. 3, 435-445, (2005).
- K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. J. II Ser. 24, 93-103, (1972).
- A. Najma, Harmonic Maps on Kenmotsu Manifolds, An. St. Univ. Ovidius Constanta. Vol. 21(3), 197-208, 2013.
- C. Oniciuc, New examples of biharmonic maps in spheres, Colloq. Math., 97, 131-139, (2003).
- Ouakkas, S, Biharmonic maps, conformal deformations and the Hopf maps, Diff. Geom. Appl, 26, 495-502, (2008).
- Y.-L. Ou, p-harmonic morphisms, biharmonic morphisms, and non-harmonic biharmonic maps, J. Geom. Phys. Volume 56, 3, 358-374, (2006).
- G. Pitis¸, Geometry of Kenmotsu manifolds, Publishing House of Transilvania University of Bra¸sov, Bra¸sov, (2007).
- K. Yano and M. Kon, Structures on manifolds, vol. 3, Series in pure Math., World Scientifc, Singapore, 1984.
There are 21 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | September 30, 2016 |
| Published in Issue | Year 2016 Volume: 4 Issue: 3 |
