منابع مشابه
On Homothetic Mappings of Riemann Spaces
it is easily seen that a motion and a homothetic transformation are both affine collineations and that an affine collineation preserves the curvature tensor. In [l ] one of the present authors proved that in a space of nonzero constant curvature a mapping preserving curvature is a motion. For an Einstein space with nonzero curvature scalar, a mapping preserving Ricci curvature is a motion; for ...
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We show that under reasonable assumptions there exist Riemann mappings which are as hard as tally ]-P even in the non-uniform case. More precisely, we show that under a widely accepted conjecture from numerical mathematics there exist single domains with simple, i.e. polynomial time computable, smooth boundary whose Riemann mapping is polynomial time computable if and only if tally ]-P equals P...
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In this note we state some results on extensions of holomorphic mapings into hyperbolic spaces. A theorem involves extending holomorphic mappings to a domain of holomorphy. An extension problem of holomorphic mappings into a taut complex space was considered by Fujimoto [1]. Another result is that the space of all meromorphic mappings from a complex space X into a hyperbolically imbedded space ...
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In §3, we consider the existence of holomorphic maps with a given rank on complex spaces countable at infinity. We use the method given here to make a remark on an imbedding theorem for holomorphically complete spaces due to R. Remmert [4]. The author is indebted to Professor H. Cartan for his suggestions and for pointing out that the space of holomorphic functions is complete even for non-norm...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1958
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1958-0100876-7