Harmonicity of a foliation and of an associated map

Bulletin of the Australian Mathematical Society

Volumn 54, Issue 2, 1996, Pages 241-246

  Tondeur, Philippe ^a   Vanhecke, Lieven ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030266182     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s000497270001769x     Document Type: Article

References (17)

1. A.L. Besse, Einstein manifolds, Ergeb. Math. Grenzgeb. 3. Folge 10 (Springer-Verlag, Berlin, Heidelberg, New York, 1987).
2. J. Eells and L. Lemaire, 'A report on harmonic maps', Bull. London Math. Soc. 10 (1978), 1-68.
3. J. Eells and L. Lemaire, 'Another report on harmonic maps', Bull. London Math. Soc. 20 (1988), 385-524.
4. J. Eells and J.H. Sampson, 'Harmonic mappings of Riemannian manifolds', Amer. J. Math. 86 (1964), 109-160.
5. E. García-Río, L. Vanhecke and M.E. Vázquez-Abal, 'Harmonic endomorphism fields', Illinois J. Math. (to appear).
6. A. Gray, 'Pseudo-Riemannian almost product manifolds and submersions', J. Math. Mech. 16 (1967), 715-737.
7. F. Kamber and Ph. Tondeur, 'Harmonic foliations', Lecture Notes in Math. 949 (1982), 87-121.
8. F. Kamber and Ph. Tondeur, 'Foliations and metrics', Progr. Math. 32 (1983), 103-152.
9. X. Masa, 'Duality and minimality in Riemannian foliations', Comment. Math. Helv. 67 (1992), 17-27.
10. B. O'Neill, 'The fundamental equations of a submersion', Michigan Math. J. 13 (1966), 459-469.
11. B.L. Reinhart, Differential geometry of foliations, Ergeb. Math. Grenzgeb. 99 (Springer-Verlag, Berlin, Heidelberg, New York, 1983).
12. R. Rummler, 'Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts', Comment. Math. Helv. 54 (1979), 224-239.
13. D. Sullivan, 'A homological characterization of foliations consisting of minimal surfaces', Comment. Math. Helv. 54 (1979), 218-223.
14. Ph. Tondeur, Foliations on Riemannian manifolds, Universitext (Springer-Verlag, Berlin, Heidelberg, New York, 1988).
15. Ph. Tondeur, 'Geometry of Riemannian foliations', in Seminar on Math. Sciences 20 (Keio University, Yokohama, 1994).
16. Ph. Tondeur, 'Riemannian foliations and tautness', Proc. Sympos. Pure Math. 54 (1993), 667-672.
17. K. Yano and S. Ishihara, Tangent and cotangent bundles, Pure and Appl. Math. 16 (Marcel Dekker, New York, 1973).