- Tytuł:
- On the energy of unit vector fields with isolated singularities
- Autorzy:
-
Brito, Fabiano
Walczak, Paweł - Powiązania:
- https://bibliotekanauki.pl/articles/1208013.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Ricci curvature
vector field
mean curvature
energy - Opis:
- We consider the energy of a unit vector field defined on a compact Riemannian manifold M except at finitely many points. We obtain an estimate of the energy from below which appears to be sharp when M is a sphere of dimension >3. In this case, the minimum of energy is attained if and only if the vector field is totally geodesic with two singularities situated at two antipodal points (at the 'south and north pole').
- Źródło:
-
Annales Polonici Mathematici; 2000, 73, 3; 269-274
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł