Harmonic foliations

1982 ◽  
pp. 87-121 ◽  
Author(s):  
Franz W. Kamber ◽  
Philippe Tondeur
Keyword(s):  
Harmonic Foliations

scholarly journals The index of harmonic foliations on spheres

1983 ◽  
Vol 275 (1) ◽  
pp. 257-257 ◽  
Author(s):  
Franz W. Kamber ◽  
Philippe Tondeur
Keyword(s):  
Harmonic Foliations

scholarly journals A characterization of harmonic foliations by the volume preserving property of the normal geodesic flow

2002 ◽  
Vol 29 (10) ◽  
pp. 573-577
Author(s):  
Hobum Kim
Keyword(s):  
Geodesic Flow ◽  
Riemannian Foliation ◽  
Volume Form ◽  
Normal Connection ◽  
Riemannian Volume ◽  
Canonical Metric ◽  
Normal Geodesic ◽  
Harmonic Foliations ◽  
Volume Preserving

We prove that a Riemannian foliation with the flat normal connection on a Riemannian manifold is harmonic if and only if the geodesic flow on the normal bundle preserves the Riemannian volume form of the canonical metric defined by the adapted connection.

scholarly journals Harmonic foliations on the sphere

1991 ◽  
Vol 15 (2) ◽  
pp. 397-407
Author(s):  
Zhi-Bo Li
Keyword(s):  
Harmonic Foliations

scholarly journals Curvature properties of harmonic foliations

1984 ◽  
Vol 28 (3) ◽  
pp. 458-471 ◽  
Author(s):  
Franz W. Kamber ◽  
Philippe Tondeur
Keyword(s):  
Harmonic Foliations
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