A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations
Sign Up to like & getrecommendations! Published in 2022 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-022-09827-3
Abstract: Under suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold can be computed only from curvature invariants which are transverse to the leaves. Our proof uses the hypoelliptic sub-Laplacian on forms… read more here.
Keywords: gauss bonnet; bonnet formula; totally geodesic; chern gauss ... See more keywords
Global stability of some totally geodesic wave maps
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.02.056
Abstract: Abstract We prove that wave maps that factor as R 1 + d → φ S R → φ I M , subject to a sign condition, are globally nonlinear stable under small compactly supported… read more here.
Keywords: global stability; wave maps; stability totally; wave ... See more keywords
On the growth of the number of primitive totally geodesic surfaces in some hyperbolic 3-manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2019.01.012
Abstract: Abstract Let d be a positive square-free integer ≡ 3 ( mod 4 ) such that the ideal class group of Q [ − d ] does not contain an element of order 4. We… read more here.
Keywords: number; geodesic surfaces; growth number; number primitive ... See more keywords