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By Methodology and Philosophy of Science Stanford, Calif. 1960 : Nagel, Ernest, ; International Union of the History and Philosophy of Science. ; National Academy of Sci International Congress for Logic

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J. Math Soc. Japan. vol. 14 1962 Tanaka, N. A differential geometric study on strongly pseudo-convex manifolds. Lectures in Mathematics, Department of Mathematics, Kyoto University Kinokunia Book-Store Co. Ltd addr Tokyo, Japan vol. 9 2001 Webster, S 25-41 Pseudo-hermitian structures on a real hypersurface. J. Diff. Geom. vol 13 1978 Wells, R. , Jr. Differential analysis on complex manifolds. Springer-Verlag, New York, 1979 Yau, S. T. Problem Section. In Yau, S. T. ) “Seminar on Differential Geometry”, Princeton University Press 1982 Annals of Math Studies, vol.

The first author is indebted to Professor Rick Schoen for his advice on open manifolds of negative curvature. References Bah. Bahuaud, E. Intrinsic characterization for Lipschitz asymptotically hyperbolic metrics. 3371 July 2, 2008 14:55 WSPC - Proceedings Trim Size: 9in x 6in ws-proc9x6master Calabi-Yau Problems for CR-manifolds BahM. BGS. Be. B1. BGP. Ca. CaB. CCa. CaCh. CaDM1. CaDM2. CaFL. CaS1. CaS2. CaS3. CaSW. CaT. 15 Bahuaud, E. and Marsh, T. H¨ older Compactification for some manifolds with pinched negative curvature near infinity.

For example, f (x) = −[d(x, x0 )]2 is a sup-harmonic function on M , whenever M has non-negative sectional curvature in generalized sense. 4. (Liouville-Yau type problem) Let M n be a n-dimensional complete, non-compact Alexandrov space with non-negative sectional curvature. Suppose that M n has no boundary. Is it true that any positive supharmonic functions on M n must be a constant function? In [CaB], the first author and Benjamini studied a different Liouvilletype problem of Schoen-Yau. One hopes to continue to work on LiouvilleYau type problem mentioned above.

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