Results 21 to 30 of about 74,327 (228)
Analytical forecasting of the optimal trajectory of mobile robot
Системный анализ и прикладная информатика, 2022 The purpose of the research, the results of which are presented in the article, is the analytical synthesis of the law of control of a wheeled mobile robot while it moves along a trajectory specified by reference points on the surface in an inertial ...
A. A. Lobaty +3 more
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Quadratic gravity and conformally coupled scalar fields
Journal of High Energy Physics, 2020 We construct black hole solutions in four-dimensional quadratic gravity, supported by a scalar field conformally coupled to quadratic terms in the curvature.
Nicolás Cáceres +4 more
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Earth and Space Science, 2022 A contemporary and decisive optimization algorithm is developed for inverting gravity anomalies due to listric faults. The cross‐section of listric faults are generally concave up, and the dip of the fault plane gradually decreases with depth.
Arka Roy +2 more
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Rigidity and stability of Einstein metrics for quadratic curvature functionals [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2013 Abstract We investigate rigidity and stability properties of critical points of quadratic curvature functionals on the space of Riemannian metrics. We show it is possible to “gauge” the Euler–Lagrange equations, in a self-adjoint fashion, to become elliptic.
Gursky, Matthew, Viaclovsky, Jeff
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Uniqueness of critical metrics for a quadratic curvature functional
, 2023 In this paper we prove a new rigidity results for complete, possibly non-compact, critical metrics of the quadratic curvature functional $\mathfrak{S}^2 = \int R_g^{2} dV_g$: we show that critical metrics $(M^n, g)$ with finite energy are always scalar flat, i.e. global minima, provided $n\geq 10$.
Catino, Giovanni +2 more
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Ultrasound International Open, 2016 Purpose: Plastic surgery on the eyelids for the purpose of aesthetic or functional correction requires precise knowledge of lid anatomy. Changes in the tarsal curvature of the upper eyelid relative to line of vision are important, particularly when a ...
T. Schrom, R. Amberg, F. Bast
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Some rigidity characterizations on critical metrics for quadratic curvature functionals [PDF]
Analysis and Mathematical Physics, 2020 We study closed $n$-dimensional manifolds of which the metrics are critical for quadratic curvature functionals involving the Ricci curvature, the scalar curvature and the Riemannian curvature tensor on the space of Riemannian metrics with unit volume. Under some additional integral conditions, we classify such manifolds. Moreover, under some curvature
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Area-Constrained Planar Elastica [PDF]
, 2001 We determine the equilibria of a rigid loop in the plane, subject to the constraints of fixed length and fixed enclosed area. Rigidity is characterized by an energy functional quadratic in the curvature of the loop. We find that the area constraint gives
C. Bouchiat +21 more
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Local quadratic estimation of the curvature in a functional single index model
Scandinavian Journal of Statistics, 2020 AbstractThe nonlinear responses of species to environmental variability can play an important role in the maintenance of ecological diversity. Nonetheless, many models use parametric nonlinear terms which pre‐determine the ecological conclusions. Motivated by this concern, we study the estimate of the second derivative (curvature) of the link function ...
Zi Ye, Giles Hooker
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Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds [PDF]
Nonlinear Analysis, 2018 In this paper, we prove some rigidity results for the Einstein metrics as the critical points of a family of known quadratic curvature functionals on closed manifolds, characterized by some point-wise inequalities. Moreover, we also provide a few rigidity results that involve the Weyl curvature, the trace-less Ricci curvature and the Yamabe invariant ...
Ma, Bingqing +3 more
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