A Generalization of Intersection Formulae of Integral Geometry

Geometriae Dedicata

Volumn 68, Issue 1, 1997, Pages 101-121

  Glasauer, Stefan ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

Boundary structure; Convex bodies; Crofton formula; Generalized curvature measures; Principal kinematic formula

Indexed keywords

EID: 0013494338     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004976306108     Document Type: Article

References (10)

1. Glasauer, S.: Integralgeometrie konvexer Körper im sphärischen Raum, Thesis, Univ. Freiburg i. Br. 1995.
2. Glasauer, S.: Integral geometry of spherically convex bodies, Diss. Summ. Math. 1 (1996), 219-226.
3. Rother, W. and Zähle, M.: A short proof of a principal kinematic formula and extensions, Trans. Amer. Math. Soc. 321 (1990), 547-558.
4. Schneider, R.: Parallelmengen mit Vielfachheit und Steiner-Formeln, Geom. Dedicata 9 (1980), 111-127.
5. Schneider, R.: Convex Bodies: the Brunn-Minkowski Theory, Cambridge University Press, Cambridge, 1993.
6. Schneider, R. and Weil, W.: Integralgeometrie, Teubner, Stuttgart, 1992.
7. Schneider, R. and Wieacker, J. A.: Integral geometry, in: P. M. Gruber and J. M. Wills (eds), Handbook of Convex Geometry, North-Holland, Amsterdam, 1993, pp. 1349-1390.
8. Zähle, M.: Approximation and characterization of generalized Lipschitz-Killing curvatures, Ann. Global. Anal. Geom. 8 (1990), 249-260.
9. Zalgaller, V. A.: k-dimensional directions singular for a convex body (Russian), Zapiski naučn. Sem. Leningrad. Otd. mat. Inst. Steklov 27 (1972), 67-72, English translation: J. Soviet Math. 3 (1975), 437-441.
10. Zalgaller, V. A.: k-dimensional directions singular for a convex body (Russian), Zapiski naučn. Sem. Leningrad. Otd. mat. Inst. Steklov 27 (1972), 67-72, English translation: J. Soviet Math. 3 (1975), 437-441.