Some properties of subharmonic functions on complete Riemannian manifolds and their geometric applications

Zhang, Zonglao; Xu, Zongben

J. Math. Kyoto Univ., Tome 44 (2004) no. 4, p. 173-180 / Harvested from Project Euclid

Résumé

This paper investigates the global behavior of subharmonic functions on a complete noncompact simply-connected Riemannian manifold. The authors obtain some Liouville-type theorems, a comparison theorem for the strong parabolicity of a manifold and their applications to geometry.

Publié le : 2004-05-15
Classification: 53C21

@article{1250283587,
     author = {Zhang, Zonglao and Xu, Zongben},
     title = {Some properties of subharmonic functions on complete Riemannian manifolds and their geometric applications},
     journal = {J. Math. Kyoto Univ.},
     volume = {44},
     number = {4},
     year = {2004},
     pages = { 173-180},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283587}
}

Zhang, Zonglao; Xu, Zongben. Some properties of subharmonic functions on complete Riemannian manifolds and their geometric applications. J. Math. Kyoto Univ., Tome 44 (2004) no. 4, pp.  173-180. http://gdmltest.u-ga.fr/item/1250283587/