Results 1 to 10 of about 26,677 (197)

On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N [PDF]

, 2007
In this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of $\Co^{N}$. As a corollary, we present multi-dimensional generalizations of an important result of Coman and Poletsky on Bernstein ...
A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Sadullaev, A.J. Poorten van der, Alexander Brudnyi, B.Y. Levin, C. Fefferman, C. Fefferman, D. Coman, F. Nazarov, F. Nazarov, J. Bourgain, J.A. Jenkins, L.P. Bos, M. Gromov, M.I. Ganzburg, N. Roytwarf, R. Kannan, R. Tijdeman, R. Tijdeman, V. Katznelson, V. Logvinenko, W. Pawlucki, W. Ple’sniak, Y. Brudnyi, Y. Brudnyi, Y. Brudnyi, Y. Ilyashenko   +32 more
core   +2 more sources

Local Conditions for Triangulating Submanifolds of Euclidean Space [PDF]

Discrete & Computational Geometry, 2020
AbstractWe consider the following setting: suppose that we are given a manifold M in $${\mathbb {R}}^d$$ R d with positive reach. Moreover assume that we have an embedded simplical complex $${\mathcal {A}}$$
Jean‐Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh, André Lieutier, Mathijs Wintraecken   +4 more
openalex   +2 more sources

Local rigidity, symplectic homeomorphisms, and coisotropic submanifolds [PDF]

Bulletin of the London Mathematical Society, 2022
We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locally rigid" with respect to that subset, prove that this notion is invariant under symplectic homeomorphisms, and show that coisotropic submanifolds are distinguished among all smooth submanifolds by the property that all of their points are locally rigid ...
Michael Usher
openalex   +5 more sources

Expected local topology of random complex submanifolds

Journal of Algebraic Geometry, 2023
Let n ≥ 2 n\geq 2 and r ∈ { 1 , ⋯ , n − 1 } r\in \{1, \cdots , n-1\} be integers, M M be a compact smooth Kähler manifold of complex dimension n n , E E be a holomorphic
Damien Gayet
openalex   +4 more sources

Hamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics [PDF]

Entropy
The common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures.
Stavros C. Farantos
doaj   +2 more sources

Brieskorn submanifolds, local moves on knots, and knot products [PDF]

Journal of Knot Theory and Its Ramifications, 2019
We first prove the following: Let [Formula: see text] and [Formula: see text]. Let [Formula: see text] and [Formula: see text] be closed, oriented, [Formula: see text]-dimensional [Formula: see text]-connected, simple submanifolds of [Formula: see text].
Louis H. Kauffman, Eiji Ogasa
openalex   +4 more sources

Local complex foliation of real submanifolds

Mathematische Annalen, 1974
Michael Freeman
openalex   +3 more sources

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Physical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
doaj   +1 more source

Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding

Shanghai Jiaotong Daxue xuebao, 2021
Aimed at the problem of high dimension and nonlinearity of variable data in chemical process, a process fault detection algorithm based on neighborhood preserving embedding(NPE )-principal polynomial analysis (PPA) is proposed in this paper.
LI Yuan, YAO Zongyu
doaj   +1 more source

Geometrical modeling and numerical analysis of edge dislocation

Nihon Kikai Gakkai ronbunshu, 2021
In this study, we conduct modeling and numerical analysis of a straight edge dislocation in a three-dimensional geometrically nonlinear elastic medium.
Shunsuke KOBAYASHI, Ryuichi TARUMI
doaj   +1 more source