Translative and kinematic formulae for curvature measures of flat sections

Mathematische Nachrichten

Volumn 197, Issue , 1999, Pages 89-101

  Rataj, Jan ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Curvature measure; Grassmann manifold; Set of positive reach; Unit normal bundle

Indexed keywords

EID: 0005753652     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19991970107     Document Type: Article

References (9)

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2. FEDERER, H.: Geometric Measure Theory, Springer - Verlag, Berlin, 1969
3. GOODEY, P., KIDERLEN, M., and WEIL, W.: Section and Projection Means of Convex Bodies, Mh. Math. 126 (1998), 37-54
4. RATAJ, J.: Remarks on a Translative Formula for Sets of Positive Reach, Geom. Dedicata 65 (1997), 59-62
5. RATAJ, J., and ZÄHLE, M.: Mixed Curvature Measures for Sets of Positive Reach and a Translative Integral Formula, Geom. Dedicata 57 (1995), 259-283
6. SCHNEIDER, R.: Curvature Measures of Convex Bodies, Ann. Mat. Pura Appl. 116 (1978), 101-134
7. SCHNEIDER R., and WEIL, W.: Translative and Kinematic Integral Formulae for Curvature Measures, Math. Nach. 129 (1986), 67-80
8. WEIL, W.: Iterations of Translative Integral Formulae and Non - Isotropic Poisson Processes of Particles, Math. Z. 205 (1990), 531-549
9. ZÄHLE, M.: Integral and Current Representation of Federer's Curvature Measures, Arch. Math. 46 (1986), 557-567