S. Avvakumov

activity

20122023

most citedAny cyclic quadrilateral can be inscribed in any closed convex smooth curve

18 citations · 63 across the 14 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.MG2017★ 18 cited

Any cyclic quadrilateral can be inscribed in any closed convex smooth curve

Arseniy Akopyan, Sergey Avvakumov

We prove that any cyclic quadrilateral can be inscribed in any closed convex $C^{1}$ -curve. The smoothness condition is not required if the quadrilateral is a rectangle.

math.GT2017

The classification of linked $3$ -manifolds in $6$ -space

Sergey Avvakumov

Let $M_{1}$ and $M_{2}$ be closed connected orientable $3$ -manifolds. We classify the sets of smooth and piecewise linear isotopy classes of embeddings $M_{1} ⊔ M_{2} \to S^{6}$ .

Any cyclic quadrilateral can be inscribed in any closed convex smooth curve

The classification of linked 3-manifolds in 6-space

The classification of linked $3$ -manifolds in $6$ -space