Volume comparison and the σk-Yamabe problem

By M. Gursky, Jeff Viaclovsky. 2004

55 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1b7649b627ad71b2e0c9950dcabc48c9045a88b9

Citations in the corpus

• Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary (2006, unknown): “…the σk-Yamabe problem in the literature, where, for each 1 ≤ k ≤ n, σk is the k-th elementary symmetric function defined by σk(λ) := ∑ i1<···<ik λi1 · · ·λik for all λ = (λ1, · · · , λn) ∈ Rn and Γk := {λ ∈ Rn : σl(λ) > 0, 1 ≤ l ≤ k} which is an open convex symmetric cone with vertex at the origin.”