A note on the Dirichlet problem at infinity for manifolds of negative curvature
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- by Albert Borbély PDF
- Proc. Amer. Math. Soc. 114 (1992), 865-872 Request permission
Abstract:
M. T. Anderson and D. Sullivan showed that the Dirichlet problem at infinity for simply connected manifolds is solvable if the curvature satisfies $- {a^2} < K < - {b^2}$. Using M. T. Anderson’s method we generalize this statement to manifolds satisfying the weaker bounds $- g(r) < K < - {b^2}$, where $g(r) \approx {e^{\lambda r}}$, with $\lambda < 1/3$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 865-872
- MSC: Primary 58G20; Secondary 53C20, 58G30
- DOI: https://doi.org/10.1090/S0002-9939-1992-1069289-8
- MathSciNet review: 1069289