\displaystyle\int_M {({{\left| {\nabla u} \right|}^2} + h{u^2})d{v_g}} \geqslant C\underbrace {\int_M {({{\left| {\nabla u} \right|}^2} + {u^2})d{v_g}} }_{\left\| u \right\|_{{H^1}}^2}