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Titlebook: Differential Geometry and Complex Analysis; A Volume Dedicated t Isaac Chavel,Hershel M. Farkas Book 1985 Springer-Verlag Berlin, Heidelber

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楼主: 杂技演员
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https://doi.org/10.1007/978-1-137-58929-3In H. F. Baker’s monumental tomb on Abelian varieties [3, p. 273] there is an exercise which must surely catch the eyes of those few readers whose fortitude carries them that far.
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Raritäten und Curiositäten der NaturLet . denote the open unit disk in the complex plane ℂ and . a bounded Jordan domain in ℂ. We say that . is an ., 0 ≦ . < 1, if one and hence each conformai mapping .: ℂ̄.̄ → ℂ̄.̄ can be extended to a .-quasiconformal mapping of the extended complex plane ℂ̄ where . (1 + .)/(1 ‒ .. A continuum . ⊂ ℂ is said to be a . if .where . is as above.
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Malte Schmick,Philippe I. H. BastiaensThis note contains a proof of an elementary but useful inequality for Riemann surfaces with a finitely generated non-Abelian fundamental group.
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The Spatial Organization of Ras SignalingA famous theorem of Lusternik and Schnirelmann [LS] states that, for a Riemannian manifold . given by an arbitrary Riemannian metric on the differentiate 2-sphere, there are at least three closed geodesics without self-intersections. See [Ly] for a more complete proof.
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Polynomial Approximation in Quasidisks,Let . denote the open unit disk in the complex plane ℂ and . a bounded Jordan domain in ℂ. We say that . is an ., 0 ≦ . < 1, if one and hence each conformai mapping .: ℂ̄.̄ → ℂ̄.̄ can be extended to a .-quasiconformal mapping of the extended complex plane ℂ̄ where . (1 + .)/(1 ‒ .. A continuum . ⊂ ℂ is said to be a . if .where . is as above.
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An Inequality for Riemann Surfaces,This note contains a proof of an elementary but useful inequality for Riemann surfaces with a finitely generated non-Abelian fundamental group.
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