2022
DOI: 10.21711/231766362022/rmc503
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Index bounds for closed minimal surfaces in 3-manifolds with the Killing property

Abstract: Let Σ be a closed minimal surface immersed in a Riemannian 3-manifold carrying an orthonormal Killing frame. This class of ambient spaces includes Lie groups with a bi-invariant metric. In this paper, we prove that the sum of the Morse index and the nullity of Σ is bounded from below by a constant times its genus.

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