A Laplacian comparison theorem and its applications

Takeshi Kura

doi:10.3792/pjaa.78.7

Translator Disclaimer

Jan. 2002 A Laplacian comparison theorem and its applications

Takeshi Kura

Proc. Japan Acad. Ser. A Math. Sci. 78(1): 7-9 (Jan. 2002). DOI: 10.3792/pjaa.78.7

Abstract

A Laplacian comparison theorem is given. As applications we show a volume comparison theorem and a criterion for the hyperbolicity of Riemannian manifolds.

Citation

Download Citation

Takeshi Kura. "A Laplacian comparison theorem and its applications." Proc. Japan Acad. Ser. A Math. Sci. 78 (1) 7 - 9, Jan. 2002. https://doi.org/10.3792/pjaa.78.7