In this paper,we give a slight improvement of El Soufi–Ilias–Ros’s upper bound of the first Laplace eigenvalue on a torus in a fixed conformal class.We also optimize Montiel–Ros’s argument to obtain a better uppe...In this paper,we give a slight improvement of El Soufi–Ilias–Ros’s upper bound of the first Laplace eigenvalue on a torus in a fixed conformal class.We also optimize Montiel–Ros’s argument to obtain a better upper bound of the conformal area for certain rectangular tori.展开更多
文摘In this paper,we give a slight improvement of El Soufi–Ilias–Ros’s upper bound of the first Laplace eigenvalue on a torus in a fixed conformal class.We also optimize Montiel–Ros’s argument to obtain a better upper bound of the conformal area for certain rectangular tori.
