The hot spots conjecture holds for all non-acute geodesic triangles of constant negative curvature, with additional critical point and monotonicity results for other constant curvature triangles and polygons.
``Eigenfunctions and nodal sets." Commentarii Mathematici Helvetici 51 (1976): 43-55
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Hot spots in domains of constant curvature
The hot spots conjecture holds for all non-acute geodesic triangles of constant negative curvature, with additional critical point and monotonicity results for other constant curvature triangles and polygons.