메뉴 건너뛰기




Volumn 82, Issue 1-3, 2000, Pages 285-323

Integral Geometry of Tame Sets

Author keywords

Integral geometry; Tame stratifications

Indexed keywords


EID: 18244425953     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1005248711077     Document Type: Article
Times cited : (49)

References (32)
  • 1
    • 0005598973 scopus 로고
    • The Euler number of a Riemann manifold
    • Allendoerfer, C.: The Euler number of a Riemann manifold, Amer. J. Math. 62 (1940), 243-248.
    • (1940) Amer. J. Math. , vol.62 , pp. 243-248
    • Allendoerfer, C.1
  • 2
    • 84966247266 scopus 로고
    • The Gauss-Bonnet theorem for Riemannian polyhedra
    • Allendoerfer, C. and Weil, A.: The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101-129.
    • (1943) Trans. Amer. Math. Soc. , vol.53 , pp. 101-129
    • Allendoerfer, C.1    Weil, A.2
  • 3
    • 84972536303 scopus 로고
    • Critical points and curvature for embedded polyhedra
    • Banchoff, T.: Critical points and curvature for embedded polyhedra, J. Differential Geom. 1 (1967), 245-256.
    • (1967) J. Differential Geom. , vol.1 , pp. 245-256
    • Banchoff, T.1
  • 5
    • 0000753208 scopus 로고
    • On the curvature of piecewise flat spaces
    • Cheeger, J., Müller, W. and Schrader, R.: On the curvature of piecewise flat spaces, Comm. Math. Phys. 92 (1984), 405-454.
    • (1984) Comm. Math. Phys. , vol.92 , pp. 405-454
    • Cheeger, J.1    Müller, W.2    Schrader, R.3
  • 6
    • 0011640329 scopus 로고
    • Kinematic and tube formulas for piecewise linear spaces
    • Cheeger, J., Müller, W. and Schrader, R.: Kinematic and tube formulas for piecewise linear spaces, Indiana Univ. Math. J. 35(4) (1986), 737-754.
    • (1986) Indiana Univ. Math. J. , vol.35 , Issue.4 , pp. 737-754
    • Cheeger, J.1    Müller, W.2    Schrader, R.3
  • 7
    • 0001036635 scopus 로고
    • A simple intrinsic proof for the Gauss-Bonnet formula for closed Riemannian manifolds
    • Chern, S.-S.; A simple intrinsic proof for the Gauss-Bonnet formula for closed Riemannian manifolds, Ann. of Math. 45 (1944), 747-752.
    • (1944) Ann. of Math. , vol.45 , pp. 747-752
    • Chern, S.-S.1
  • 8
    • 0007288995 scopus 로고
    • On the kinematic formula in integral geometry
    • Chern, S.-S.: On the kinematic formula in integral geometry, J. Math. Mech. 16 (1966), 101-118.
    • (1966) J. Math. Mech. , vol.16 , pp. 101-118
    • Chern, S.-S.1
  • 10
    • 0000274906 scopus 로고    scopus 로고
    • Geometric categories and O-minimal structures
    • Van den Dries, L. and Miller, C.: Geometric categories and O-minimal structures, Duke Math. J. 84 (1996), 497-540.
    • (1996) Duke Math. J. , vol.84 , pp. 497-540
    • Van Den Dries, L.1    Miller, C.2
  • 13
    • 0042727964 scopus 로고
    • Totale Absolutkrümmung in Differentialgeometrie und -topologie
    • Springer, New York
    • Ferus, D.: Totale Absolutkrümmung in Differentialgeometrie und -topologie, Lecture Notes in Math., Springer, New York, 1968.
    • (1968) Lecture Notes in Math.
    • Ferus, D.1
  • 14
    • 84972491796 scopus 로고
    • Curvature measures and generalized Morse theory
    • Fu, J. H. G.: Curvature measures and generalized Morse theory, J. Differential Geom. 30 (1989), 619-642.
    • (1989) J. Differential Geom. , vol.30 , pp. 619-642
    • Fu, J.H.G.1
  • 15
    • 0000412343 scopus 로고
    • Curvature measures of subanalytic sets
    • Fu, J. H. G.: Curvature measures of subanalytic sets, Amer. J. Math. 116(4) (1994), 819-880.
    • (1994) Amer. J. Math. , vol.116 , Issue.4 , pp. 819-880
    • Fu, J.H.G.1
  • 19
    • 0033096222 scopus 로고    scopus 로고
    • On stratified Morse theory
    • Hamm, H.: On stratified Morse theory, Topology 38 (1999), 427-438.
    • (1999) Topology , vol.38 , pp. 427-438
    • Hamm, H.1
  • 20
    • 84968476562 scopus 로고
    • Topological properties of subanalytic sets
    • Hardt, R.: Topological properties of subanalytic sets, Trans. Amer. Math. Soc. 211 (1975), 57-70.
    • (1975) Trans. Amer. Math. Soc. , vol.211 , pp. 57-70
    • Hardt, R.1
  • 21
    • 0003252211 scopus 로고
    • Morse Theory
    • Princeton Univ. Press, Princeton, N.J.
    • Milnor, J.: Morse Theory, Ann. of Math. Studies, 51, Princeton Univ. Press, Princeton, N.J., 1969.
    • (1969) Ann. of Math. Studies , pp. 51
    • Milnor, J.1
  • 23
    • 0042227057 scopus 로고
    • Gesammelte Abh. 2, Leipzig, reprinted by Chelsea
    • Minkowski, H.: Theorie der konvexen Körper, Gesammelte Abh. 2, Leipzig, 1911, reprinted by Chelsea, pp. 131-229, 1967.
    • (1911) Theorie der Konvexen Körper , pp. 131-229
    • Minkowski, H.1
  • 24
    • 0042227056 scopus 로고
    • Geometria Integral 15. Formula fundamental de la media cinemática para cilindros y planos paralelos móviles
    • Santaló, L.: Geometria Integral 15. Formula fundamental de la media cinemática para cilindros y planos paralelos móviles, Abh. Math. Sem. Univ. Hamburg 12, 1937.
    • (1937) Abh. Math. Sem. Univ. Hamburg , vol.12
    • Santaló, L.1
  • 29
    • 84968481732 scopus 로고
    • Ensembles et morphismes stratifiés
    • Thom, R.: Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc. 75 (1969), 240-284.
    • (1969) Bull. Amer. Math. Soc. , vol.75 , pp. 240-284
    • Thom, R.1
  • 30
    • 0000045032 scopus 로고
    • On the volume of tubes
    • Weyl, H.: On the volume of tubes, Amer. J. Math. 61 (1939), 461-472.
    • (1939) Amer. J. Math. , vol.61 , pp. 461-472
    • Weyl, H.1
  • 31
    • 0001208702 scopus 로고
    • Tangents to an analytic variety
    • Whitney, H.: Tangents to an analytic variety, Ann. of Math. 81 (1965), 496-549.
    • (1965) Ann. of Math. , vol.81 , pp. 496-549
    • Whitney, H.1
  • 32
    • 0000112219 scopus 로고
    • Curvature and currents for unions of sets with positive reach
    • Zähle, M.: Curvature and currents for unions of sets with positive reach, Geom. Dedicata 23 (1987), 155-171.
    • (1987) Geom. Dedicata , vol.23 , pp. 155-171
    • Zähle, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.