Harmonic functions of polynomial growth on certain complete manifolds

Geometric and Functional Analysis

Volumn 6, Issue 4, 1996, Pages 619-627

  Christiansen, Tanya ^a   Zworski, Maciej ^b,c  

^a UNIVERSITY OF MISSOURI   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030510719     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02247114     Document Type: Article

References (8)

1. R. BARTNIK, The mass of an asymptotically flat manifold, Comm. Pure Appl. Math. 29 (1986), 661-693.
2. J. CHEEGER, G. TIAN, On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay, Invent. Math. 118 (1994), 493-571.
3. T. COLDING, W. MINICOZZI, Harmonic functions with polynomial growth, in preparation.
4. P. Li, Harmonic functions of linear growth, Math. Res. Lett. 2:1 (1995), 79-94.
5. R.B. MELROSE, The Atiyah-Patodi-Singer Index Theorem, A.K. Peters, Wellesley, MA, 1994.
6. R.B. MELROSE, Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces, in "Spectral and Scattering Theory" (M. Ikawa, ed.), 85-130, M. Dekker, 1994.
7. R.B. MELROSE, G. A. MENDOZA, Elliptic pseudodifferential operators of totally characteristic type, MSRI preprint.
8. J. WANG, Linear growth harmonic functions on complete manifolds, Comm. Anal. Geom., to appear.