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arxiv: 1704.05418 · v1 · pith:SCQVJBVUnew · submitted 2017-04-18 · 🧮 math.DG · math.AP

An Estimate of the First Eigenvalue of a Schr\"odinger Operator on Closed Surfaces

classification 🧮 math.DG math.AP
keywords operatorsurfaceseigenvalueestimatefirstodingerschrclosed
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Based on the work of Schoen-Yau, we derive an estimate of the first eigenvalue of a Schr\"odinger Operator (the Jaocbi operator of minimal surfaces in flat 3-spaces) on surfaces.

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