A Note on p-Harmonic 1-Forms on Complete Manifolds

2001 ◽  
Vol 44 (3) ◽  
pp. 376-384 ◽  
Author(s):  
Xi Zhang
Keyword(s):  
Ricci Curvature ◽  
Complete Manifold ◽  
Complete Manifolds

AbstractIn this paper we prove that there is no nontrivial Lq-integrably p-harmonic 1-form on a complete manifold with nonnegatively Ricci curvature (0 < q < ∞).

scholarly journals Examples of complete manifolds with positive Ricci curvature

1985 ◽  
Vol 21 (2) ◽  
pp. 195-211 ◽  
Author(s):  
Detlef Gromoll ◽  
Wolfgang T. Meyer
Keyword(s):  
Ricci Curvature ◽  
Positive Ricci Curvature ◽  
Complete Manifolds
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