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International conference "Algebraic Groups and Lie Groups" on the occasion of the 70th birthday of Vladimir L. Popov
October 4, 2016 16:10–17:00, Moscow, Steklov Mathematical Institute, room 530 (Gubkina 8)
 


Non-compact curvature foliations on the triaxial ellipsoid

Gisbert Wüstholz
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Gisbert Wüstholz


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Abstract: On the triaxial ellipsoid we consider curvature lines and geodesics and null-geodesics. We discuss when the curvature lines define a foliation with non-compact leaves. We also show that compact geodesics correspond to $2$-fold coverings of an elliptic curve by a curve of genus $2$ and extend this to null-geodesics. These problems lead to determine the dimension of elliptic and abelian period spaces which is related to Schneider's $3$rd and $4$th problem in his monograph on transcendental numbers.

Language: English

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