The dimension of a cut locus on a smooth riemannian manifold

Tohoku Mathematical Journal

Volumn 50, Issue 4, 1998, Pages 571-575

  Itoh, Jin Ichi ^a   Tanaka, Minoru ^b  

^a KUMAMOTO UNIVERSITY   (Japan)

^b TOKAI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032216866     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178224899     Document Type: Article

References (11)

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5. J. Itoh, The length of cut locus in a surface and Ambrose’s problem, J. Differential Geom. 43 (1996), 642-651.
6. J. Itoh, Riemannian metric with fractal cut locus, to appear.
7. V. Ozols, Cut locus in Riemannian manifolds, Tôhoku Math. J. 26 (1974), 219-227.
8. J. Milnor, Morth theory, Ann. of Math. Studies No. 51, Princeton Univ. Press, 1963.
9. F. Morgan, Geometric measure theory, A beginner’s guide, Academic Press 1988.
10. K. Shiohama and M. Tanaka, The length function of geodesic parallel circles, in “Progress in Differential Geometry” (K. Shiohama, ed.) Adv. Studies in Pure Math., Kinokuniya, Tokyo 22 (1993), 299-308.
11. F. W. Warner, The conjugate locus of a Riemannian manifold, Amer. J. Math. 87 (1965), 575-604.