10 citations · 61 across the 23 of their papers we have counts for
3 papers · 1 filter
Isometric Embeddings into Heisenberg Groups
Zoltán M. Balogh, Katrin Fässler, Hernando Sobrino
We study isometric embeddings of a Euclidean space or a Heisenberg group into a higher dimensional Heisenberg group, where both the source and target space are equipped with an arb…
Equality in Borell-Brascamp-Lieb inequalities on curved spaces
Zoltán M. Balogh, Alexandru Kristály
By using optimal mass transportation and a quantitative Hölder inequality, we provide estimates for the Borell-Brascamp-Lieb deficit on complete Riemannian manifolds. Accordingly,…
Jacobian determinant inequality on corank 1 Carnot groups with applications
Zoltán M. Balogh, Alexandru Kristály, Kinga Sipos
We establish a weighted pointwise Jacobian determinant inequality on corank 1 Carnot groups related to optimal mass transportation akin to the work of Cordero-Erausquin, McCann and…