There exists a nonrecursive c.e. set A such that for every X ≡_m A there is a c.e. B ≡_m A with X ≰_fo B, so the m-degree of A contains no least finite-one degree.
Conformal geometry and complete minimal surfaces
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
No complete non-orientable minimal surfaces of finite total curvature in R^3 with one end foliated by closed curvature lines exist.
Plebanski's chiral 2-form formulation of GR reveals additional structure in Einstein's equations and supplies new analytical and numerical tools.
citing papers explorer
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A computably enumerable many-one degree with no least finite-one degree
There exists a nonrecursive c.e. set A such that for every X ≡_m A there is a c.e. B ≡_m A with X ≰_fo B, so the m-degree of A contains no least finite-one degree.
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Minimal surfaces with closed curvature lines
No complete non-orientable minimal surfaces of finite total curvature in R^3 with one end foliated by closed curvature lines exist.
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General Relativity via differential forms -- explorations in Plebanski's Formalism for GR
Plebanski's chiral 2-form formulation of GR reveals additional structure in Einstein's equations and supplies new analytical and numerical tools.