메뉴 건너뛰기




Volumn 227, Issue 4, 1998, Pages 729-746

Characterization of metric balls in standard space forms via curvature

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032222414     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004402     Document Type: Article
Times cited : (7)

References (24)
  • 1
    • 84941449805 scopus 로고
    • Analytische eigenschaften konvexer funktionen auf Riemannschen mannigfaltigkeiten
    • Bangert, V.: Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten. J. reine angew. Math. 307/308, 309-324 (1979).
    • (1979) J. Reine Angew. Math. , vol.307-308 , pp. 309-324
    • Bangert, V.1
  • 2
    • 84972545638 scopus 로고
    • Totally convex sets in complete Riemannian manifolds
    • Bangert, V.: Totally convex sets in complete Riemannian manifolds. J. Differ. Geom. 16, 333-345 (1981)
    • (1981) J. Differ. Geom. , vol.16 , pp. 333-345
    • Bangert, V.1
  • 3
    • 0001798574 scopus 로고
    • Sets with positive reach
    • Bangert, V.: Sets with positive reach. Arch. Math. 38, 54-57 (1982)
    • (1982) Arch. Math. , vol.38 , pp. 54-57
    • Bangert, V.1
  • 4
    • 0013543720 scopus 로고
    • Beweis einer vermutung von H. Minkowski
    • Bol, G.: Beweis einer Vermutung von H. Minkowski. Abh. Math. Sem. Univ. Hamburg 15, 37-56 (1943)
    • (1943) Abh. Math. Sem. Univ. Hamburg , vol.15 , pp. 37-56
    • Bol, G.1
  • 6
    • 0001265427 scopus 로고
    • On the structure of complete manifolds of nonnegative curvature
    • Cheeger, J.,Gromoll, D.: On the structure of complete manifolds of nonnegative curvature. Ann. Math. II. Ser. 96, 413-443 (1972)
    • (1972) Ann. Math. II. Ser. , vol.96 , pp. 413-443
    • Cheeger, J.1    Gromoll, D.2
  • 8
    • 0003372936 scopus 로고
    • Geometric measure theory
    • Berlin Heidelberg New York: Springer
    • Federer, H.: Geometric Measure Theory, Grundlehren Math. Wiss. Bd. 153, Berlin Heidelberg New York: Springer 1969
    • (1969) Grundlehren Math. Wiss. , vol.153
    • Federer, H.1
  • 9
    • 0004230837 scopus 로고
    • Riemannsche geometrie im Großen
    • Berlin Heidelberg New York: Springer
    • Gromoll, D. et al.: Riemannsche Geometrie im Großen. Lect. notes in math. vol. 55 Berlin Heidelberg New York: Springer 1975
    • (1975) Lect. Notes in Math. , vol.55
    • Gromoll, D.1
  • 10
    • 0013551322 scopus 로고
    • Convexity and the unique footpoint property in Riemannian geometry
    • Kleinjohann, N.: Convexity and the unique footpoint property in Riemannian geometry. Arch. Math. 35, 574-582 (1980)
    • (1980) Arch. Math. , vol.35 , pp. 574-582
    • Kleinjohann, N.1
  • 12
    • 0000644398 scopus 로고
    • Curvature measures and Steiner formulae in space forms
    • Kohlmann, P.: Curvature measures and Steiner formulae in space forms. Geom. Dedicata 40, 191-211 (1991)
    • (1991) Geom. Dedicata , vol.40 , pp. 191-211
    • Kohlmann, P.1
  • 13
    • 0000060650 scopus 로고
    • Minkowski integral formulas for compact convex bodies in standard space forms
    • Kohlmann, P.: Minkowski integral formulas for compact convex bodies in standard space forms. Math. Nachr. 166, 217-228 (1994)
    • (1994) Math. Nachr. , vol.166 , pp. 217-228
    • Kohlmann, P.1
  • 14
    • 0013481152 scopus 로고
    • Über die Verbiegung geschlossener flächen positiver krümmung
    • Liebmann, H.: Über die Verbiegung geschlossener Flächen positiver Krümmung. Math. Ann. 53, 81-112 (1900)
    • (1900) Math. Ann. , vol.53 , pp. 81-112
    • Liebmann, H.1
  • 15
    • 0002702476 scopus 로고
    • The imbedding problem for Riemannian manifolds
    • Nash, J.: The imbedding problem for Riemannian manifolds. Ann. Math. II. Ser. 63, 20-63 (1956)
    • (1956) Ann. Math. II. Ser. , vol.63 , pp. 20-63
    • Nash, J.1
  • 17
    • 0013522231 scopus 로고
    • Über Tangentialkörper der kugel
    • Schneider, R.: Über Tangentialkörper der Kugel. Manuscr. Math. 23, 269-278 (1978)
    • (1978) Manuscr. Math. , vol.23 , pp. 269-278
    • Schneider, R.1
  • 18
    • 51249182447 scopus 로고
    • Bestimmung konvexer mengen durch krümmungsmaße
    • Schneider, R.: Bestimmung konvexer Mengen durch Krümmungsmaße. Comment. Math. Helv. 54, 42-60 (1979)
    • (1979) Comment. Math. Helv. , vol.54 , pp. 42-60
    • Schneider, R.1
  • 19
    • 0003333144 scopus 로고
    • Convex bodies: The Brunn-Minkowski theory
    • Cambridge University Press, Cambridge
    • Schneider, R.: Convex bodies: the Brunn-Minkowski theory. Encycl. Math. Appl. vol. 44. Cambridge University Press, Cambridge 1993
    • (1993) Encycl. Math. Appl. , vol.44
    • Schneider, R.1
  • 21
    • 85100829538 scopus 로고
    • A comprehensive introduction to differential geometry (4)
    • Spivak, M.: A comprehensive introduction to differential geometry (4). Publish or Perish (1979)
    • (1979) Publish or Perish
    • Spivak, M.1
  • 23
    • 0003137456 scopus 로고
    • Konvexität in Riemannschen mannigfaltigkeiten
    • Walter, R.: Konvexität in Riemannschen Mannigfaltigkeiten. Jahresber. Dtsch. Math.-Ver. 83, 1-31 (1981)
    • (1981) Jahresber. Dtsch. Math.-ver. , vol.83 , pp. 1-31
    • Walter, R.1
  • 24
    • 0000182794 scopus 로고
    • Integral and current representation of Federer's curvature measures
    • Zähle, M.: Integral and current representation of Federer's curvature measures. Arch. Math. 46, 557-567 (1986)
    • (1986) Arch. Math. , vol.46 , pp. 557-567
    • Zähle, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.