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- Tyndall National InstituteIE88 papers
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4 papers · 2 filters
Lagrangian submanifolds in affine symplectic geometry
Benjamin McKay
We uncover the lowest order differential invariants of Lagrangian submanifolds under affine symplectic maps, and find out what happens when they are constant.
Real hypersurfaces with constant principal curvatures in complex hyperbolic spaces
Jurgen Berndt, Jose Carlos Diaz-Ramos
We classify all real hypersurfaces with three distinct constant principal curvatures in complex hyperbolic spaces of dimension greater than two.
Rational curves and ordinary differential equations
Benjamin McKay
The systems of complex analytic second order ordinary differential equations whose solutions close up to become rational curves (after analytic continuation) are characterized by t…
Cohomogeneity one actions on noncompact symmetric spaces of rank one
Jurgen Berndt, Hiroshi Tamaru
We classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers, and on the complex hyperbolic spaces…