Three viewpoints on the integral geometry of foliations
Langevin, R. ; Nikolayevsky, Yu.
Illinois J. Math., Tome 43 (1999) no. 3, p. 233-255 / Harvested from Project Euclid
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We deal with three different problems of the multidimensional integral geometry of foliations. First, we establish asymptotic formulas for integrals of powers of curvature of foliations obtained by intersecting a foliation by affine planes. Then we prove an integral formula for surfaces of contact of an affine hyperplane with a foliation. Finally, we obtain a conformally invariant integral-geometric formula for a foliation in three-dimensional space.
Publié le : 1999-06-15
Classification:  53C12,  53C65 
@article{1255985212,
     author = {Langevin, R. and Nikolayevsky, Yu.},
     title = {Three viewpoints on the integral geometry of foliations},
     journal = {Illinois J. Math.},
     volume = {43},
     number = {3},
     year = {1999},
     pages = { 233-255},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255985212}
}

Langevin, R.; Nikolayevsky, Yu. Three viewpoints on the integral geometry of foliations. Illinois J. Math., Tome 43 (1999) no. 3, pp.  233-255. http://gdmltest.u-ga.fr/item/1255985212/