A Comparison Theorem for an Elliptic Operator

Potential Analysis

Volumn 8, Issue 2, 1998, Pages 137-142

  Qian, Zhongmin ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Curvature; Distance function; Elliptic operator

Indexed keywords

EID: 0032383993     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008698923961     Document Type: Article

References (6)

1. Bakry, D. and Emery, M.: 'Diffusion hypercontractives', Séminaire de probabilités XIX, Lecture Notes in Math. 1123 (1985), 177-206.
2. Chavel, I.: Eigenvalues in Riemannian Geometry, Academic Press, INC, 1984.
3. Chavel, I.: Riemannian Geometry: A Modern Introduction, Cambridge University Press, 1993.
4. Cheeger, J. and Ebin, D.: Comparison Theorem in Riemannian Geometry, North-Holland Math. Library, 1975.
5. Green, R. E. and Wu, H.: 'Function theory on manifolds which possess a pole', Lecture Notes in Math. 699, Springer-Verlag, 1979.
6. Yau, S. T.: 'Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry', Indiana Math. J. 25 (1976), 659-670.