A Translative Integral Formula for Absolute Curvature Measures

Geometriae Dedicata

Volumn 84, Issue 1-3, 2001, Pages 245-252

  Rataj, Jan ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Curvature measure; Grassmann manifold; Positive reach

Indexed keywords

EID: 0042285740     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010393922889     Document Type: Article

References (9)

1. Baddeley, A. J.: Absolute curvatures in integral geometry, Math. Proc. Cambridge Philos. Soc. 88 (1980), 45-58.
2. Federer, H.: Geometric Measure Theory, Springer-Verlag, Berlin, 1969.
3. Rataj, J.: Translative and kinematic formulae for curvature measures of flat sections, Math. Nachr. 197 (1999), 89-101.
4. Rataj, J. and Zähle, M.: Mixed curvature measures for sets of positive reach and a translative integral formula, Geom. Dedicata 57 (1995), 259-283.
5. Rother, W. and Zähle, M.: Absolute curvature measures, II, Geom. Dedicata 41 (1992), 229-240.
6. Santaló, L. A.: Total curvatures of compact manifolds immersed in Euclidean space. In: Symposia Mathematica, Vol. XIV (Convegno di Teoria Geometrica dell'Integrazione e Varieta Minimali, INDAM, Rome 1973), Academic Press, London 1974, pp. 363-390.
7. Schneider, R. and Weil, W.: Translative and kinematic integral formulae for curvature measures, Math. Nachr. 129 (1986), 67-80.
8. Zähle, M.: Integral and current representation of Federer's curvature measures, Arch. Math. 46 (1986), 557-567.
9. Zähle, M.: Absolute curvature measures, Math. Nachr. 140 (1989), 83-90.