Isometry-invariant geodesics and nonpositive derivations of the cohomology

Papadima, Stefan; Paunescu, Laurentiu

J. Differential Geom., Tome 69 (2005) no. 3, p. 159-176 / Harvested from Project Euclid

Résumé

We introduce a new class of artinian weighted complete intersections, by abstracting the essential features of Q-cohomology algebras of equal rank homogeneous spaces of compact connected Lie groups. We prove that, on a 1-connected closed manifold M with H*(M,Q) belonging to this class, every isometry has a nontrivial invariant geodesic, for any metric on M. We use Q-surgery to construct large classes of new examples for which the above result may be applied.

Publié le : 2005-09-14
Classification:

@article{1143644315,
     author = {Papadima, Stefan and Paunescu, Laurentiu},
     title = {Isometry-invariant geodesics and nonpositive derivations of the cohomology},
     journal = {J. Differential Geom.},
     volume = {69},
     number = {3},
     year = {2005},
     pages = { 159-176},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143644315}
}

Papadima, Stefan; Paunescu, Laurentiu. Isometry-invariant geodesics and nonpositive derivations of the cohomology. J. Differential Geom., Tome 69 (2005) no. 3, pp.  159-176. http://gdmltest.u-ga.fr/item/1143644315/