MathDB3 problems
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Equifocality conjecture for submanifolds with parallel focal structure
Equifocality conjecture. More generally, submanifolds with parallel focal structure in irreducible compact symmetric spaces of higher rank are equifocal, hence have codimension one…
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Conjecture on the focal-point characterization of complex equifocal hypersurfaces
Conjecture. The second half of the statement in Proposition 3.1 holds if is complex equifocal.
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Conjecture on curvature-adapted complex equifocal submanifolds in non-compact symmetric spaces
Conjecture. Comparatively many complex equifocal submanifolds of codimension greater than one in irreducible symmetric spaces of non-compact type are curvature-adapted and proper c…