@inbook{8a5cdd21ba174e04bc50c93e0e7e9e56,
title = "On the hopf conjecture with symmetry",
abstract = "The Hopf conjecture states that an even-dimensional manifold with positive curvature has positive Euler characteristic. We show that this is true under the assumption that a torus of sufficiently large dimension acts by isometries. This improves previous results by replacing linear bounds by a logarithmic bound. The new method that is introduced is the use of Steenrod squares combined with geometric arguments of a similar type to what was done before.",
author = "Lee Kennard",
note = "Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",
year = "2014",
doi = "10.1007/978-3-319-06373-7_5",
language = "English (US)",
isbn = "9783319063720",
series = "Lecture Notes in Mathematics",
publisher = "Springer Verlag",
pages = "111--116",
booktitle = "Geometry of Manifolds with Non-Negative Sectional Curvature",
}