We present a new formula relating the normal Euler numbers of embedded surfaces in 4-space and the number of triple points on their projections into 3-space. This formula generalizes Banchoff's ...
We derive a new variational principle, leading to a new momentum map and a new multisymplectic formulation for a family of Euler–Poincaré equations defined on the Virasoro–Bott group, by using the ...
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