Suppose M is a complete noncompact surface C2 immersed in E3 with K≥ 0. It is proved that M is a cylinder if λ ≤ H ≤ 2 λ for some λ > 0. Moreover, the pinching constant 2 is optimal.
机构:
Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia
Univ Liverpool, Liverpool L69 7ZL, Merseyside, EnglandMoscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia
Zakalyukin, V. M.
Kurbatskii, A. N.
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Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, RussiaMoscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia