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Articles 1 - 4 of 4
Full-Text Articles in Other Mathematics
On The Nondegeneracy Of Constant Mean Curvature Surfaces, Nick Korevaar, Robert Kusner, Jesse Ratzkin
On The Nondegeneracy Of Constant Mean Curvature Surfaces, Nick Korevaar, Robert Kusner, Jesse Ratzkin
Robert Kusner
We prove that many complete, noncompact, constant mean curvature (CMC) surfaces $f:\Sigma \to \R^3$ are nondegenerate; that is, the Jacobi operator Δf+|Af|2 has no L2 kernel. In fact, if Σ has genus zero and f(Σ) is contained in a half-space, then we find an explicit upper bound for the dimension of the L2 kernel in terms of the number of non-cylindrical ends. Our main tool is a conjugation operation on Jacobi fields which linearizes the conjugate cousin construction. Consequences include partial regularity for CMC moduli space, a larger class of CMC surfaces to use in gluing constructions, and a surprising …
Place-Valued Logics Around Cybernetic Ontology, The Bcl And Afosr, Rudolf Kaehr
Place-Valued Logics Around Cybernetic Ontology, The Bcl And Afosr, Rudolf Kaehr
Rudolf Kaehr
No abstract provided.
From Ruby To Rudy, Rudolf Kaehr
The Chinese Challenge. Hallucinations For Other Futures, Rudolf Kaehr
The Chinese Challenge. Hallucinations For Other Futures, Rudolf Kaehr
Rudolf Kaehr
The main question is: What can we learn from China that China is not teaching us? It is proposed that a study of polycontextural logic and morphogrammatics could be helpful to discover this new kind of rationality.