We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Einstein manifolds and curvature operator of the second kind.
- Authors
Dai, Zhi-Lin; Fu, Hai-Ping
- Abstract
We prove that a compact Einstein manifold of dimension n ≥ 4 with nonnegative curvature operator of the second kind is a constant curvature space by Bochner technique. Moreover, we obtain that compact Einstein manifolds of dimension n ≥ 11 with n + 2 4 -nonnegative curvature operator of the second kind, 4 (resp. , 8 , 9 , 10) -dimensional compact Einstein manifolds with 2-nonnegative curvature of the second kind and 5-dimensional compact Einstein manifolds with 3-nonnegative curvature of the second kind are constant curvature spaces. Combining with Li's (J Geom Anal 32:281, 2022) result, we have that a compact Einstein manifold of dimension n ≥ 4 with max { 4 , n + 2 4 } -nonnegative curvature operator of the second kind is a constant curvature space.
- Subjects
EINSTEIN, Albert, 1879-1955; SPACES of constant curvature; EINSTEIN manifolds; CURVATURE
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 2, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-023-02650-z