Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898478 | Journal of Geometry and Physics | 2015 | 9 Pages |
Abstract
We study Laplace eigenvalues λkλk on Kähler manifolds as functionals on the space of Kähler metrics with cohomologous Kähler forms. We introduce a natural notion of a λkλk-extremal Kähler metric and obtain necessary and sufficient conditions for it. A particular attention is paid to the λ1λ1-extremal properties of Kähler–Einstein metrics of positive scalar curvature on manifolds with non-trivial holomorphic vector fields.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Vestislav Apostolov, Dmitry Jakobson, Gerasim Kokarev,