Extremal Metric for the First Eigenvalue on a Klein Bottle
Extremal Metric for the First Eigenvalue on a Klein Bottle
Abstract The first eigenvalue of the Laplacian on a surface can be viewed as a functional on the space of Riemannian metrics of a given area. Critical points of this functional are called extremal metrics. The only known extremal metrics are a round sphere, a standard projective plane, a Clifford …