出版社:The Editorial Committee of the Interdisciplinary Information Sciences
摘要:Let H be the Heisenberg group and let Γ be the discrete subgroup of H with integer entries. We obtain a necessary and sufficient condition for a homogeneous metric g on H ⁄Γ to be a critical point for the total scalar curvature functional I defined for the set A ( M ) of some proper homogeneous Riemannian metrics on H ⁄Γ.