We show that the geodesic flow vector field on the unit tangent sphere bundle of a two-point homogeneous space is both minimal and harmonic and determines a harmonic map. For a complex space form, we exhibit additional unit vector fields on the unit tangent sphere bundle with those properties. We fi
β¦ LIBER β¦
Tangent and frame bundle harmonic lifts
β Scribed by C. T. J. Dodson; M. E. Vazquez-Abal
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1991
- Tongue
- English
- Weight
- 468 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Harmonic and minimal vector fields on ta
β
E. Boeckx; L. Vanhecke
π
Article
π
2000
π
Elsevier Science
π
English
β 123 KB
Harmonic morphisms and Riemannian geomet
β
Giovanni Calvaruso; Domenico Perrone
π
Article
π
2010
π
Springer
π
English
β 343 KB
Lifted transformations on the tangent bu
β
R. Maartens; D. R. Taylor
π
Article
π
1993
π
Springer
π
English
β 631 KB
Non-holonomic and semi-holonomic frames
β
A. MartΔ±Μn MΓ©ndez; J.F. Torres Lopera
π
Article
π
2003
π
Elsevier Science
π
English
β 195 KB
We prove that the bundles of non-holonomic and semi-holonomic second-order frames of a real or complex manifold M can be obtained as extensions of the bundle F 2 (M) of second-order jets of (holomorphic) diffeomorphisms of (K n , 0) into M, where is the bundle of K-linear frames of M we will associ
Integrablep-almost tangent manifolds and
β
M. de LeΓ³n; Isabel MΓ©ndez; M. Salgado
π
Article
π
1991
π
Akadmiai Kiad
π
English
β 494 KB
Smoothness and tangent bundles of arithm
β
A. Bravo; O.Villamayor U.
π
Article
π
2002
π
Springer-Verlag
π
French
β 196 KB