Lipschitz-Killing invariants

Mathematische Nachrichten

Volumn 245, Issue , 2002, Pages 5-25

  Bernig, Andreas ^a   Bröcker, Ludwig ^b  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Integral geometry; Normal cycles; O minimal geometry

Indexed keywords

EID: 0036433746     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1522-2616(200211)245:1<5::AID-MANA5>3.0.CO;2-E     Document Type: Article

References (25)

1. [B-T95] Bekka, K., and Trotman, D.: Sur les Propriétés Métriques des Espaces Stratifiés, Preprint, 1995.
2. [Be1] Bernig, A.: Scalar Curvature of Definable Alexandrov Spaces, Advances in Geometry 2 (2002), 29-55.
3. [Be2] Bernig, A.: Scalar Curvature of Definable CAT-Spaces, to appear in Advances in Geometry.
4. [Brö] Bröcker, L.: Euler Integration and Euler Multiplication, Preprint 2001.
5. [Brö-Ku] Bröcker, L., and Kuppe, M.: Integral Geometry of Tame Sets, Geom. Dedicata 82 (2000), 285-323.
6. [C-M-S1] Cheeger, J., Müller, W., and Schrader, R.: On the Curvature of Piecewise Flat Spaces, Commun. Math. Phys. 92 (1984), 405-454.
7. [C-M-S2] Cheeger, J., Müller, W., and Schrader, R.: Kinematic and Tube Formulas for Piecewise Flat Spaces, Indiana Univ. Math. I. 35 (1986), 737-754.
8. [Co] Coste, M.: An Introduction to o-Minimal Geometry, Universitá di Pisa, Dipartimento di Matematica, 2000.
9. [Fed] Federer, H.: Geometric Measure Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1968.
10. [Fu1] Fu, J.: Monge-Ampère Functions I, Indiana Univ. Math. J. 38 (1989), 745-771.
11. [Fu2] Fu, J.: Curvature Measures of Subanalytic Sets, Amer. J. Math. 116 (1994), 819-880.
12. [Had] Hadwiger, H.: Vorlesungen über Inhalt, Oberfläiche und Isoperimetrie, Springer-Verlag, Berlin - Göttingen - Heidelberg, 1957.
13. [K-S] Kashiwara, M., and Schapira, P.: Sheaves on Manifolds, Springer-Verlag, Berlin-Heidelberg - New York, 1990.
14. [Kl-Ro] Klain, D., and Rota, G.: Introduction to Geometric Probability, Cambridge University Press, 1997.
15. [Mi] Milnor, J.: Euler Characteristic and Finitely Additive Steiner Measures, Collected Papers Vol. 1, 213-234, Publish or Perish Inc. USA, 1994.
16. [Schn1] Schneider, R.: Kinematische Berührmaße für konvexe Körper, Abh. Math. Sem. Univ. Hamburg 44 (1975), 12-23.
17. [Schn2] Schneider, R.: Curvature Measures of Convex Bodies, Ann Matem. Pura et Applic 116 (1978), 101-134.
18. [Schn3] Schneider, R.: Convex Bodies: The Brunn-Minkowski Theory, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, 1993.
19. [Schür] Schürmann, J.: Topology of Singular Spaces and Constructible Sheaves, www.math.uni-hamburg.de/home/schuermann.
20. [Su-Wi] Sulanke, R., and Wintgen, P.: Differentialgeometrie und Faserbündel, Birkhäuser Verlag, Basel-Stuttgart, 1972.
21. [v.d.D] van den Dries, L.: Tame Topology and o-Minimal Structures, London Math. Soc. Lecture Notes Ser. 248, Cambridge University Press, 1998.
22. [Viro] Viro, O.: Some Integral Calculus Based on Euler Characteristic; Topology and Geometry, Rohlin Seminar, Springer Lecture Notes 1346 (1989), 127-138.
23. [Weyl] Weyl, H.: On the Volume of Tubes, Amer. J. Math. 61 (1939), 461-472.
24. [Zä1] Zähle, M.: Curvature and Currents for Unions of Sets with Positive Reach, Geom. Dedicata 23 (1987), 155-171.
25. [Zä2] Zähle, M.: Approximation and Characterization of Generalized Lipschitz-Killing Curvatures, Ann. Global Anal. Geom. 8 (1990), 249-260.