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arxiv: 1510.01200 · v2 · pith:YNZUM7SAnew · submitted 2015-10-05 · 🧮 math.DG · math-ph· math.MP· math.SP

An estimate on the nodal set of eigenspinors on closed surfaces

classification 🧮 math.DG math-phmath.MPmath.SP
keywords closedeigenspinorsnodalsurfacestechniqueadditionapplybochner
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We use a modified Bochner technique to derive an inequality relating the nodal set of eigenspinors to eigenvalues of the Dirac operator on closed surfaces. In addition, we apply this technique to solutions of similar spinorial equations.

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