Hyperbolic Carathéodory conjecture

Author:

Ovsienko V.,Tabachnikov S.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference18 articles.

1. V. I. Arnold, “The Branched Covering CP 2 → S 4, Hyperbolicity and Projective Topology,” Sib. Mat. Zh. 29(5), 36–47 (1988) [Sib. Math. J. 29, 717–726 (1988)].

2. V. I. Arnold, “Topological Problems of the Theory of Wave Propagation,” Usp. Mat. Nauk 51(1), 3–50 (1996) [Russ. Math. Surv. 51, 1–47 (1996)].

3. V. I. Arnold, “Remarks on the Parabolic Curves on Surfaces and on the Higher-Dimensional Möbius-Sturm Theory,” Funkts. Anal. Prilozh. 31(4), 3–18 (1997) [Funct. Anal. Appl. 31, 227–239 (1997)].

4. V. I. Arnold, “Topological Problems of the Theory of Asymptotic Curves,” Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 225, 11–20 (1999) [Proc. Steklov Inst. Math. 225, 5–15 (1999)].

5. D. Asimov, “Average Gaussian Curvature of Leaves of Foliations,” Bull. Am. Math. Soc. 84, 131–133 (1978).

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