We show how the equations for harmonic maps into homogeneous spaces generalize to harmonic sections of homogeneous fibre bundles. Surprisingly, the generalization does not explicitly involve the curvature of the bundle. However, a number of special cases of the harmonic section equations (including
✦ LIBER ✦
Harmonicity of sections of sphere bundles
✍ Scribed by J. C. González-Dávila; F. Martín Cabrera; M. Salvai
- Book ID
- 105875268
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- French
- Weight
- 330 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Harmonic sections of homogeneous fibre b
✍
C.M. Wood
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 162 KB
Regularity of weakly harmonic sections o
✍
Moussa Kourouma
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 169 KB
We study the regularity of weakly harmonic sections of fiber bundles (N, M, π), where (M, g) and (N, h) are Riemannian manifolds. One of our results is that, when the fibers are regular geodesic balls and the fiber bundle is Riemannian, any weakly harmonic section is continuous. We also study the ex
Harmonic sections of normal bundles for
✍
Kazuyuki Hasegawa
📂
Article
📅
2005
🏛
Springer
🌐
English
⚖ 82 KB
Self-maps of sphere bundles I
✍
J.L. Noakes
📂
Article
📅
1977
🏛
Elsevier Science
🌐
English
⚖ 529 KB
Random Sections of a Sphere
✍
Rodney Coleman
📂
Article
📅
1989
🏛
John Wiley and Sons
🌐
French
⚖ 504 KB
Curvature and holomorphic sections of He
✍
M. A. Chinak
📂
Article
📅
1990
🏛
SP MAIK Nauka/Interperiodica
🌐
English
⚖ 649 KB