Weitzenböck formula for SL(q)-foliations

• Autorzy: Bartoszek A. , Kalina J. , Pierzchalski A.
• Języki publikacji: PL

Abstrakty

EN

A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.

Słowa kluczowe

EN

Weitzenbock formula; SL(q)-foliation; Ricci operator

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: Vol. 58, no 2
• Strony: 179--188
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Bartoszek A.

autor

Kalina J.

autor

Pierzchalski A.

• Faculty of Mathematics and Computer Science, Lodz University, Banacha 22 90-238 Łódź, Poland,

Bibliografia

• [1] S. Hurder, Exotic classes for measured foliations, Bull. Amer. Math. Soc. (N.S.) 7 (1982), 398-391.
• [2] H. B. Lawson, Jr., Foliations, ibid. 80 (1974), 369-418.
• [3] P. Molino, Riemannian Foliations, Progr Math. 73, Birkhäuser, Boston, 1988.
• [4] J. Plante, Foliations with measure preserving holonomy, Ann. of Math. 102 (1975), 327-361.
• [5] B. L. Reinhart, Foliated manifolds with bundle-like metric, ibid. 69 (1959), 119-132.
• [6] H. Rummler, Differential forms, Weitzenböck formula and foliations, Publ.. Mat. 33 (1989), 543-554.
• [7] R. Sacksteder, Foliations and pseudo-groups, Amer. J. Math. 87 (1965), 79-102.
• [8] Ph. Tondeur, Foliations on Riemannian Manifolds, Springer, Berlin, 1988.
• [9] Ph. Tondeur, Geometry of Foliations, Birkhäuser, Basel, 1997.