Results 1 to 10 of about 26,676 (164)
Hamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics [PDF]
EntropyThe common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures.
Stavros C. Farantos
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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
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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 $${\mathcal {A}}$$
Boissonnat, Jean-Daniel +4 more
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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
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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
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Advances in Difference Equations, 2010 The paper deals with local symmetries of the infinite-order jet space of C∞-smooth n-dimensional submanifolds in ℝm+n. Transformations under consideration are the most general possible.
Veronika Chrastinová +1 more
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Localization for Invariant Submanifolds [PDF]
Mathematical Research Letters, 2001 Let \( M \) be a smooth manifold with an equivariant formal circle action and \( W \) an invariant submanifold of \( M \) which does not contain the fixed points of the action. The author presents a new localization theorem which expresses the integration over \( W/S ^1 \) in terms of the integration over the set of fixed points of the action.
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Semi-Slant Submanifolds of a Locally Product Manifold [PDF]
gmj, 2005 Abstract In the present paper, we define and study the slant, bi-slant and semi-slant submanifolds of a locally product manifold. We give some characterization theorems for slant submanifolds and semi-slant submanifolds. Moreover, we obtain integrability conditions for the distributions which are involved in the definition of semi-slant ...
Li, Hongxia, Liu, Ximin
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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 ...
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Generic submanifolds of a locally conformal Kaehler manifold‐II [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 A submanifold \(M\) of an almost Hermitian manifold \(\overline {M}\) is called a generic submanifold if its maximal complex subspaces form a differential distribution (cf. [\textit{B. Y. Chen}, Monatsh. Math. 91, 257- 274 (1981; Zbl 0451.53041)]).
M. Hasan Shahid, Kouei Sekigawa
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