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Volumn 27, Issue 1, 2009, Pages 124-128

A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications

Author keywords

Convex body; Integral geometry; Santal 's sectioning formula; Space form; Stereology; Submanifold; Support set

Indexed keywords


EID: 58149380767     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.difgeo.2008.06.013     Document Type: Article
Times cited : (15)

References (15)
  • 3
    • 0007316029 scopus 로고
    • Le principe de dualité et certaines intégrales multiples de l'espace tangentiel et de l'espace reglé
    • Cartan E. Le principe de dualité et certaines intégrales multiples de l'espace tangentiel et de l'espace reglé. Bull. Soc. Math. France 24 (1896) 140-177
    • (1896) Bull. Soc. Math. France , vol.24 , pp. 140-177
    • Cartan, E.1
  • 4
    • 0040520206 scopus 로고
    • On the theory of local probability
    • Crofton M.W. On the theory of local probability. Phil. Trans. Roy. Soc. London 158 (1868) 181-199
    • (1868) Phil. Trans. Roy. Soc. London , vol.158 , pp. 181-199
    • Crofton, M.W.1
  • 5
    • 22844438106 scopus 로고    scopus 로고
    • A new stereological principle for test lines in three-dimensional space
    • Cruz-Orive L.M. A new stereological principle for test lines in three-dimensional space. J. Microsc. 219 (2005) 18-28
    • (2005) J. Microsc. , vol.219 , pp. 18-28
    • Cruz-Orive, L.M.1
  • 7
    • 18144391510 scopus 로고    scopus 로고
    • Integral geometry and geometric inequalities in hyperbolic space
    • Gallego E., and Solanes G. Integral geometry and geometric inequalities in hyperbolic space. Diff. Geom. Appl. 22 (2005) 315-325
    • (2005) Diff. Geom. Appl. , vol.22 , pp. 315-325
    • Gallego, E.1    Solanes, G.2
  • 10
    • 0017119312 scopus 로고
    • Precise and general conditions for the validity of a comprehensive set of stereological fundamental formulae
    • Miles R.E., and Davy P.J. Precise and general conditions for the validity of a comprehensive set of stereological fundamental formulae. J. Microsc. 107 (1976) 211-226
    • (1976) J. Microsc. , vol.107 , pp. 211-226
    • Miles, R.E.1    Davy, P.J.2
  • 11
    • 0008313799 scopus 로고
    • Measuring the surface area of a convex body
    • Moran P.A.P. Measuring the surface area of a convex body. Ann. Math. 45 (1944) 783-789
    • (1944) Ann. Math. , vol.45 , pp. 783-789
    • Moran, P.A.P.1
  • 12
    • 0344157694 scopus 로고
    • Zusammenhänge zwischen den Dichten der linearen Unterräume im n-dimensionalen Raume
    • Petkantschin B. Zusammenhänge zwischen den Dichten der linearen Unterräume im n-dimensionalen Raume. Abh. Math. Sem. Univ. Hamburg 11 (1936) 249-310
    • (1936) Abh. Math. Sem. Univ. Hamburg , vol.11 , pp. 249-310
    • Petkantschin, B.1
  • 15
    • 33444463606 scopus 로고
    • Integralgeometrie 3: Croftons Formeln für den Raum
    • Varga O. Integralgeometrie 3: Croftons Formeln für den Raum. Math. Z. 40 (1935) 387-405
    • (1935) Math. Z. , vol.40 , pp. 387-405
    • Varga, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.