Results 251 to 260 of about 326,138 (281)

*- Critical point equation on N(k)-contact manifolds

SERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2020
The object of the present paper is to characterize N(k)-contact metric manifolds satisfying the *-critical point equation. It is proved that, if (g, λ) is a non-constant solution of the *-critical point equation of a non-compact N(k)-contact metric manifold, then (1) the manifold M is locally isometric to the Riemannian product of a at (n + 1 ...
D. Dey, P. Majhi
openaire   +1 more source

Critical behavior of interacting manifolds

Physica A: Statistical Mechanics and its Applications, 1991
Abstract Low-dimensional manifolds which interact via attractive forces can undergo an unbinding transition from a bound state at low temperatures to an unbound state at high temperatures. Three model systems are considered for which the critical behavior at these transitions can be determined exactly: (i) two interfaces in spatial dimensionality d
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Computation of Critical Boundaries on Equilibrium Manifolds

SIAM Journal on Numerical Analysis, 1982
The study of various equilibrium phenomena leads to nonlinear equations (1) $F(y,u) = 0$, where $y \in R^n $ is a vector of behavior or state variables, $u \in R^p $ a vector of $p \geqq 2$ parameters or controls and $F:D \subset R^n \times R^p \to R^n $ a sufficiently differentiable map. The solution set of (1) in $R^n \times R^p $ is often called the
openaire   +1 more source

On handle theory for Morse–Bott critical manifolds

Geometriae Dedicata, 2018
This paper studies flows induced by Morse-Bott functions on \(n\)-dimensional manifolds. The main results of the paper present some conditions for an abstract Morse-Bott graph to be realized as the Morse-Bott graph associated to a flow induced by a Morse-Bott function. A necessary condition for this realization is that the Morse-Bott graph must satisfy
Lima, D. V. S., Manzoli Neto, O., de Rezende, K. A.   +2 more
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The Abbena-Thurston Manifold as a Critical Point

Canadian Mathematical Bulletin, 1996
AbstractThe Abbena-Thurston manifold (M,g) is a critical point of the functional where Q is the Ricci operator and R is the scalar curvature, and then the index of I(g) and also the index of — I(g) are positive at (M,g).
Park, Joon-Sik, Oh, Won Tae
openaire   +2 more sources

Scaling laws for critical manifolds in polycrystalline materials

Physical Review E, 2003
We study the surfaces of lowest energy through model polycrystalline materials in two and three dimensions. When the grain boundaries are sufficiently weak, these critical manifolds (CM's) lie entirely on grain boundaries, while when the grain boundaries are strong, cleavage occurs.
J H, Meinke, E S, McGarrity, P M, Duxbury, E A, Holm   +3 more
openaire   +2 more sources

Critical point equation on four‐dimensional compact manifolds

Mathematische Nachrichten, 2014
The aim of this article is to study the space of metrics with constant scalar curvature of volume 1 that satisfies the critical point equation for simplicity CPE metrics. It has been conjectured that every CPE metric must be Einstein. Here, we shall focus our attention for 4‐dimensional half conformally flat manifolds M4.
Barros, Abdênago, Ribeiro, Ernani jun.
openaire   +1 more source

Local conditions for critical and principal manifolds

2008 IEEE International Conference on Acoustics, Speech and Signal Processing, 2008
Principal manifolds are essential underlying structures that manifest canonical solutions for significant problems such as data de- noising and dimensionality reduction. The traditional definition of self-consistent manifolds rely on a least-squares construction error approach that utilizes semi-global expectations across hyperplanes orthogonal to the ...
Umut Ozertem, Deniz Erdogmus
openaire   +1 more source

Critical points of lipschitz functions on smooth manifolds

Siberian Mathematical Journal, 1981
The author extends the main results of Lyusternik-Shnirel'man theory to the case of Lipschitz mappings between \(C^ 2\)-manifolds. Let U be open in a Banach space E and \(f: U\to {\mathbb{R}}^ a \)Lipschitz mapping. For \(x\in U\), \(v\in E\) let \(f^ 0(x,v):= \limsup_{u\to x,t\to 0+}t^{- 1}[f(u+tv)-f(u)]\).
openaire   +3 more sources

Critical care management of chimeric antigen receptor T‐cell therapy recipients

Ca-A Cancer Journal for Clinicians, 2022
Alexander Shimabukuro-Vornhagen, Boris Böll, Peter Schellongowski   +2 more
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