Publications
Sort:
Open Access Research Article Issue
The upper bound for the first positive eigenvalue of Sub-Laplacian on a compact strictly pseudoconvex hypersurface
AIMS Mathematics 2024, 9(9): 25376-25395
Published: 15 September 2024
Abstract PDF (291.1 KB) Collect
Downloads:1

Let (M2n+1,θ) be a compact strictly pseudoconvex real hypersurfaces equipped with the pseudohermitian structure θ, and λ1 be the first positive eigenvalue of sub-Laplacian Δb on (M2n+1,θ). In this paper, we will give the upper bound of λ1 under certain conditions that " ReΔb(ρj+ρj¯)(2Δ~ρρj+|ρ|ρ2n1ρkρjk)0 (for some j)" or " ρjk¯=δjk" holds, and apply these results to the ellipsoids furthermore.

Total 1