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Combinatorial construction of tangent vector fields on spheres

✍ Scribed by A. A. Ognikyan


Book ID
110149320
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
650 KB
Volume
83
Category
Article
ISSN
0001-4346

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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