111 citations · 1.5k across the 66 of their papers we have counts for
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Four-dimensional Kähler metrics admitting c-projective vector fields
Alexey V. Bolsinov, Vladimir S. Matveev, Thomas Mettler +1
A vector field on a Kähler manifold is called c-projective if its flow preserves the J-planar curves. We give a complete local classification of Kähler real 4-dimensional manifolds…
On Kähler metrisability of two-dimensional complex projective structures
Thomas Mettler
We derive necessary conditions for a complex projective structure on a complex surface to arise via the Levi-Civita connection of a (pseudo-)Kähler metric. Furthermore we show that…
Two-dimensional gradient Ricci solitons revisited
Jacob Bernstein, Thomas Mettler
In this note, we complete the classification of the geometry of non-compact two-dimensional gradient Ricci solitons. As a consequence, we obtain two corollaries: First, a complete…
Characterizing classical minimal surfaces via the entropy differential
Jacob Bernstein, Thomas Mettler
We introduce on any smooth oriented minimal surface in Euclidean -space a meromorphic quadratic differential, , which we call the entropy differential. This differential aris…