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math.DS2011★ 23 cited
Generalization of Bertrand's theorem to surfaces of revolution
Denis A. Fedoseev, Elena A. Kudryavtseva, Oleg A. Zagryadsky
The generalization of Bertrand's theorem to abstract surfaces of revolution without "equators" is proved. We prove a criterion for the existence on such a surface of exactly two ce…
math.GT2011
On Long Virtual Biquanles
D. A. Fedoseev
Virtual quandles with two operations are discussed in the article. Certain knot invariant is constructed and used to distinguish two long virtual knots.