scholarly journals Poincaré index and the volume functional of unit vector fields on punctured spheres

2019 ◽  
Vol 161 (3-4) ◽  
pp. 487-499
Author(s):  
Fabiano G. B. Brito ◽  
André O. Gomes ◽  
Icaro Gonçalves
Keyword(s):  
Vector Fields ◽  
Unit Vector ◽  
Volume Functional ◽  
Poincaré Index ◽  
Unit Vector Fields ◽  
Poincare Index

scholarly journals Harmonic and minimal unit vector fields on Riemannian symmetric spaces

2003 ◽  
Vol 47 (4) ◽  
pp. 1273-1286 ◽  
Author(s):  
Jürgen Berndt ◽  
Lieven Vanhecke ◽  
László Verhóczki
Keyword(s):  
Symmetric Spaces ◽  
Vector Fields ◽  
Unit Vector ◽  
Unit Vector Fields ◽  
Riemannian Symmetric Spaces

Invariant harmonic unit vector fields on the oscillator groups

2019 ◽  
Vol 69 (4) ◽  
pp. 907-924
Author(s):  
Na Xu ◽  
Ju Tan
Keyword(s):  
Vector Fields ◽  
Unit Vector ◽  
Unit Vector Fields

scholarly journals Minimal unit vector fields

2002 ◽  
Vol 54 (1) ◽  
pp. 71-84 ◽  
Author(s):  
Olga Gil-Medrano ◽  
Elisa Llinares-Fuster
Keyword(s):  
Vector Fields ◽  
Unit Vector ◽  
Unit Vector Fields

scholarly journals Harmonicity of unit vector fields with respect to Riemannian g-natural metrics

2009 ◽  
Vol 27 (1) ◽  
pp. 157-169 ◽  
Author(s):  
M.T.K. Abbassi ◽  
G. Calvaruso ◽  
D. Perrone
Keyword(s):  
Vector Fields ◽  
Unit Vector ◽  
Unit Vector Fields

Smoothing unit vector fields

1986 ◽  
Vol 18 (3) ◽  
pp. 307-322 ◽  
Author(s):  
Carlos E. Mendoza
Keyword(s):  
Vector Fields ◽  
Unit Vector ◽  
Unit Vector Fields

scholarly journals The energy of unit vector fields on the 3-sphere

2001 ◽  
Vol 37 (1-2) ◽  
pp. 137-155 ◽  
Author(s):  
A. Higuchi ◽  
B.S. Kay ◽  
C.M. Wood
Keyword(s):  
Vector Fields ◽  
Unit Vector ◽  
Unit Vector Fields

scholarly journals On the volume of unit vector fields on spaces of constant sectional curvature

2004 ◽  
Vol 79 (2) ◽  
pp. 300-316 ◽  
Author(s):  
Fabiano B. Brito ◽  
Pablo M. Chac�n ◽  
A. M. Naveira
Keyword(s):  
Sectional Curvature ◽  
Vector Fields ◽  
Unit Vector ◽  
Constant Sectional Curvature ◽  
Unit Vector Fields
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