Results 301 to 310 of about 6,452,940 (353)

Energy quantization for Willmore surfaces with bounded index

Journal of the European Mathematical Society (Print), 2023
We prove an energy quantization result for Willmore surfaces with bounded index, whether the underlying Riemann surfaces degenerate in the moduli space or not. To do so, we translate the question on the conformal Gauss map’s viewpoint.
Dorian Martino
semanticscholar   +1 more source

New bounds on Sombor index

2022
Summary: The Sombor index of the graph \(G\) is a degree based topological index, defined as \(\mathrm{SO} = \sum_{uv \in \mathbf{E}(G)} \sqrt{d_u^2+d_v^2}\), where \(d_u\) is the degree of the vertex \(u\), and \(\mathbf{E}(G)\) is the edge set of \(G\).
Gutman, Ivan   +3 more
openaire   +4 more sources

Functions of bounded index, bounded value distribution and v-bounded index

Nonlinear Analysis: Theory, Methods & Applications, 1987
If for an entire function f there exists an integer N such that for all \(z\in {\mathbb{C}}\) and \(k\in {\mathbb{N}}\) \[ \max_{0\leq j\leq N}\{| f^{(j)}(z)| /j!\}\geq | f^{(k)}(z)| /k!, \] then f is called of bounded index and the least number N is called the ``index'' of f.
Roy, Ranjan, Shah, S. M.
openaire   +1 more source

Rings of bounded index

Communications in Algebra, 1984
A. Klein
semanticscholar   +2 more sources

Derivations and bounded nilpotence index

International Journal of Algebra and Computation, 2015
We construct a nil ring R which has bounded index of nilpotence 2, is Wedderburn radical, and is commutative, and which also has a derivation δ for which the differential polynomial ring R[x;δ] is not even prime radical. This example gives a strong barrier to lifting certain radical properties from rings to differential polynomial rings.
Nielsen, Pace P., Ziembowski, Michał
openaire   +1 more source

A note on minimal surfaces with bounded index

Communications in analysis and geometry, 2018
For any closed Riemannian three-manifold, we prove that for any sequence of closed embedded minimal surfaces with uniformly bounded index, the genus can only grow at most linearly with respect to the area.
Davi Máximo
semanticscholar   +1 more source

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