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Creators/Authors contains: "Heller, Sebastian"

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  1. ; ; ( , Symmetry, Integrability and Geometry: Methods and Applications)

    Through the action of an anti-holomorphic involution $\sigma$ (a real structure) on a Riemann surface $X$, we consider the induced actions on ${\rm SL}(r,\mathbb{C})$-opers and study the real slices fixed by such actions. By constructing this involution for different descriptions of the space of ${\rm SL}(r,\mathbb{C})$-opers, we are able to give a natural parametrization of the fixed point locus via differentials on the Riemann surface, which in turn allows us to study their geometric properties.

     
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    Free, publicly-accessible full text available September 16, 2024
  2. ; ; ( , Differential Geometry and its Applications)
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  3. ; ; ( , Research in the Mathematical Sciences)
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  4. ; ; ( , Annals of Global Analysis and Geometry)
    null (Ed.)
    Abstract We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below $$8\pi $$ 8 π . In particular, every constrained Willmore torus with Willmore energy below $$8\pi $$ 8 π and non-rectangular conformal class is non-degenerated. 
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  5. ; ( , Journal of Geometry and Physics)
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