Results 51 to 60 of about 29,766 (132)

Critically fixed Thurston maps: classification, recognition, and twisting

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
wiley   +1 more source

Harmonic maps to the circle with higher dimensional singular set

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley   +1 more source

Critical Riemannian metrics on Sasakian manifolds [PDF]

open access: yesKodai Mathematical Journal, 1983
Yamaguchi, Seiichi, Chūman, Gorō
openaire   +2 more sources

Topological restrictions for circle actions and harmonic morphisms

open access: yes, 2000
Let $M^m$ be a compact oriented smooth manifold which admits a smooth circle action with isolated fixed points which are isolated as singularities as well. Then all the Pontryagin numbers of $M^m$ are zero and its Euler number is nonnegative and even. In
John   +3 more
core   +6 more sources

Curvature and critical Riemannian metric

open access: yesJournal of the Mathematical Society of Japan, 1974
openaire   +2 more sources

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