Total geodesy of proper holomorphic immersions between complex hyperbolic space forms of finite volume.
Wing-Keung To (1993)
Mathematische Annalen
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Wing-Keung To (1993)
Mathematische Annalen
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Apostolova, Lilia N. (2012)
Mathematica Balkanica New Series
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MSC 2010: 30C10, 32A30, 30G35 The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2], [3], [4]). The hyperbolic fourth-R numbers form other similar to C(1; j) algebra with zero divisors. In this note the square roots of hyperbolic fourth-R numbers and hyperbolic complex numbers are found. The quadratic equation...
Do Duc Thai (1991)
Annales Polonici Mathematici
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Abstract. The characterization of hyperbolic embeddability of relatively compact subspaces of a complex space in terms of extension of holomorphic maps from the punctured disc and of limit complex lines is given.
W. Duke (1988)
Inventiones mathematicae
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T. Kuczumow (1988)
Colloquium Mathematicae
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Nguyen Doan Tuan, Pham Viet Duc (2005)
Annales Polonici Mathematici
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We prove the invariance of hyperbolic imbeddability under holomorphic fiber bundles with compact hyperbolic fibers. Moreover, we show an example concerning the relation between the Kobayashi relative intrinsic pseudo-distance of a holomorphic fiber bundle and the one in its base.
Ricardo Pérez Marco (1995)
Inventiones mathematicae
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Franc Forstneric (1989)
Inventiones mathematicae
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Katsumi Nomizu (1973)
Mathematische Annalen
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J.E. Fornaess, G.T. Buzzard (1996)
Mathematische Annalen
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W. STOLL (1966)
Inventiones mathematicae
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Blair, David E. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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