Steiner minimal trees in small neighbourhoods of points in Riemannian manifolds
In contrast to the Euclidean case, almost no Steiner minimal trees with concrete boundaries on Riemannian manifolds are known. A result describing the types of Steiner minimal trees on a Riemannian manifold for arbitrary small boundaries is obtained. As a consequence, it is shown that for sufficiently small regular n-gons with n⩾7 their boundaries without a longest side are Steiner minimal trees. Bibliography: 22 titles. (paper)
- OSTI ID:
- 22875751
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 7 Vol. 208; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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