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Volumn 6, Issue 4, 2006, Pages 493-500

On the critical points of a Riemannian surface

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EID: 33750048783     PISSN: 1615715X     EISSN: None     Source Type: Journal    
DOI: 10.1515/ADVGEOM.2006.030     Document Type: Article
Times cited : (6)

References (16)
  • 2
    • 33750090642 scopus 로고
    • P. De Bartolomeis, F. Tricerri, editors, Springer MR1168041 (92m:53001) Zbl 0746.00065
    • P. De Bartolomeis, F. Tricerri, editors, Geometric topology: recent developments. Springer 1991. MR1168041 (92m:53001) Zbl 0746.00065
    • (1991) Geometric Topology: Recent Developments
  • 3
    • 0000005758 scopus 로고
    • Scattering of geodesic fields. I
    • MR506991 (80c:53046) Zbl 0399.58011
    • H. Gluck, D. Singer, Scattering of geodesic fields. I. Ann. of Math. (2) 108 (1978), 347-372. MR506991 (80c:53046) Zbl 0399.58011
    • (1978) Ann. of Math. (2) , vol.108 , pp. 347-372
    • Gluck, H.1    Singer, D.2
  • 4
    • 0002148369 scopus 로고
    • Some considerations on the cut locus of a Riemannian manifold
    • Geometry of geodesics and related topics (Tokyo, 1982), North-Holland MR758646 (86a:53048) Zbl 0544.53036
    • J. Itoh, Some considerations on the cut locus of a Riemannian manifold. In: Geometry of geodesics and related topics (Tokyo, 1982), volume 3 of Adv. Stud. Pure Math., 29-46, North-Holland 1984. MR758646 (86a:53048) Zbl 0544.53036
    • (1984) Adv. Stud. Pure Math. , vol.3 , pp. 29-46
    • Itoh, J.1
  • 5
    • 0000576031 scopus 로고    scopus 로고
    • The length of a cut locus on a surface and Ambrose's problem
    • MR 1412679 (971:53038) Zbl 0865.53031
    • J. Itoh, The length of a cut locus on a surface and Ambrose's problem. J. Differential Geom. 43 (1996), 642-651. MR 1412679 (971:53038) Zbl 0865.53031
    • (1996) J. Differential Geom. , vol.43 , pp. 642-651
    • Itoh, J.1
  • 6
    • 33750080993 scopus 로고    scopus 로고
    • Essential cut locus on a surface
    • Proc. Fifth Pacific Rim Geometry Conf. (Sendai, 2000), Tohoku Univ., Sendai MR1864886 (20021:53054) Zbl 1063.53046
    • J. Itoh, Essential cut locus on a surface. In: Proc. Fifth Pacific Rim Geometry Conf. (Sendai, 2000), volume 20 of Tohoku Math. Publ., 53-59, Tohoku Univ., Sendai 2001. MR1864886 (20021:53054) Zbl 1063.53046
    • (2001) Tohoku Math. Publ. , vol.20 , pp. 53-59
    • Itoh, J.1
  • 7
    • 0007377437 scopus 로고
    • On conjugate and cut loci
    • Global differential geometry, Zbl 0683.53043
    • S. Kobayashi, On conjugate and cut loci. In: Global differential geometry, volume 27 of MAA Stud. Math., 140-169, 1989. Zbl 0683.53043
    • (1989) MAA Stud. Math. , vol.27 , pp. 140-169
    • Kobayashi, S.1
  • 8
    • 84972514548 scopus 로고
    • Connections between differential geometry and topology. I. Simply connected surfaces
    • Zbl 0012.27502
    • S. B. Myers, Connections between differential geometry and topology. I. Simply connected surfaces. Duke Math. J. 1 (1935), 376-391. Zbl 0012.27502
    • (1935) Duke Math. J. , vol.1 , pp. 376-391
    • Myers, S.B.1
  • 9
    • 84972494516 scopus 로고
    • Connections between differential geometry and topology. II. Closed surfaces
    • Zbl 0013.32201
    • S. B. Myers, Connections between differential geometry and topology. II. Closed surfaces. Duke Math. J. 2 (1936), 95-102. Zbl 0013.32201
    • (1936) Duke Math. J. , vol.2 , pp. 95-102
    • Myers, S.B.1
  • 10
    • 84972500357 scopus 로고
    • The Riemannian structure of Alexandrov spaces
    • MR1274133 (95e:53062) Zbl 0808.53061
    • Y. Otsu, T. Shioya, The Riemannian structure of Alexandrov spaces. J. Differential Geom. 39 (1994), 629-658. MR1274133 (95e:53062) Zbl 0808.53061
    • (1994) J. Differential Geom. , vol.39 , pp. 629-658
    • Otsu, Y.1    Shioya, T.2
  • 11
    • 84968505737 scopus 로고
    • Sur les lignes géodésiques des surfaces convexes
    • MR1500710 Zbl 36.0669.01
    • H. Poincaré, Sur les lignes géodésiques des surfaces convexes. Trans. Amer. Math. Soc. 6 (1905), 237-274. MR1500710 Zbl 36.0669.01
    • (1905) Trans. Amer. Math. Soc. , vol.6 , pp. 237-274
    • Poincaré, H.1
  • 12
    • 0011009019 scopus 로고
    • On the covering of a complete space by the geodesics through a point
    • MR1503245 Zbl 0012.27802
    • J. H. C. Whitehead, On the covering of a complete space by the geodesics through a point. Ann. of Math. (2) 36 (1935), 679-704. MR1503245 Zbl 0012.27802
    • (1935) Ann. of Math. (2) , vol.36 , pp. 679-704
    • Whitehead, J.H.C.1
  • 13
    • 84985349861 scopus 로고
    • On some questions about convex surfaces
    • MR1330637 (96e:52004) Zbl 0833.53004
    • T. Zamfirescu, On some questions about convex surfaces. Math. Nachr. 172 (1995), 313-324. MR1330637 (96e:52004) Zbl 0833.53004
    • (1995) Math. Nachr. , vol.172 , pp. 313-324
    • Zamfirescu, T.1
  • 14
    • 12744258573 scopus 로고    scopus 로고
    • Closed geodesic arcs in Aleksandrov spaces
    • MR1603026 (99b:53063) Zbl 0889.53027
    • T. Zamfirescu, Closed geodesic arcs in Aleksandrov spaces. Rend. Circ. Mat. Palermo (2) Suppl. no. 50 (1997), 425-430. MR1603026 (99b:53063) Zbl 0889.53027
    • (1997) Rend. Circ. Mat. Palermo (2) Suppl. , vol.50 , pp. 425-430
    • Zamfirescu, T.1
  • 15
    • 0031483824 scopus 로고    scopus 로고
    • Farthest points on convex surfaces
    • MR 1484714 (98m:52003) Zbl 0896.52005
    • T. Zamfirescu, Farthest points on convex surfaces. Math. Z. 226 (1997), 623-630. MR 1484714 (98m:52003) Zbl 0896.52005
    • (1997) Math. Z. , vol.226 , pp. 623-630
    • Zamfirescu, T.1
  • 16
    • 22044441292 scopus 로고    scopus 로고
    • Extreme points of the distance function on convex surfaces
    • MR1458314 (98i:52005) Zbl 0896.52006
    • T. Zamfirescu, Extreme points of the distance function on convex surfaces. Trans. Amer. Math. Soc. 350 (1998), 1395-1406. MR1458314 (98i:52005) Zbl 0896.52006
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 1395-1406
    • Zamfirescu, T.1


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