Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

On the partition of the 2-sphere by geodesic nets

Author(s): Aladár Heppes
Journal: Proc. Amer. Math. Soc. 127 (1999), 2163-2165.
MSC (1991): Primary 53C22; Secondary 53A10
Posted: March 17, 1999
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: The main result of the paper is that for every natural number there exists a geodesic net with vertices of degree 3 or 4 partitioning the round 2-sphere into regions.

References:

[Cr]: C. Croke, Poincaré's problem on the shortest closed geodesic on a convex hypersurface, J. Diff. Geom. 17 (1982), 595-634. MR 84f:58034
[Ha-Mo1]: J. Hass and Frank Morgan, Geodesics and soap bubbles on surfaces, Math. Z. 223 (1996), no. 2, 185-196. MR 97j:53009
[Ha-Mo2]: J. Hass and Frank Morgan, Geodesic nets on the 2-sphere, Proc. of the AMS 124/12 (1996), 3843-385. MR 97b:53042
[He]: A. Heppes, Isogonale sphärische Netze, Ann. Univ. Sci. Budapest Eötvös, Sect. Math. 7 (1964), 41-48. MR 30:3406


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS