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Analysis of the Finite Element Method for the Laplace–Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes
(Springer New York LLC, 2017)
We derive error estimates for the piecewise linear finite element approximation of the Laplace–Beltrami operator on a bounded, orientable, (Formula presented.), surface without boundary on general shape regular meshes. As ...
Curvature Estimates for Submanifolds in Warped Products
(BIRKHAUSER VERLAG AG, 2011)
We give estimates of the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case ...
Nonholonomic path planning among obstacles subject to curvature restrictions
(CAMBRIDGE UNIV PRESS, 2002)
This paper addresses the problem of finding a non-holonomic path subject to a curvature restriction, to be tracked by a wheeled autonomous navigation vehicle. This robot is able to navigate in a structured environment, ...
New characterizations for hyperbolic cylinders in anti-de Sitter spaces
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2013-08-02)
In this paper we study complete maximal spacelike hypersurfaces in anti-de Sitter space H-1(n+1) with either constant scalar curvature or constant non-zero Gauss-Kronecker curvature. We characterize the hyperbolic cylinders ...
Manifolds of semi-negative curvature
(Wiley, 2010-04)
This paper studies the metric structure of manifolds of semi-negative curvature. Explicit estimates on the geodesic distance and sectional curvature are obtained in the setting of homogeneous spaces G/K of Banach–Lie groups, ...
Dynamic reduced model and stochastic aspects for PFGM curved beams with variable curvature
(Pergamon-Elsevier Science Ltd, 2021-01)
In this paper a new 1D finite element model for dynamic calculations of PGFM curved beams with variable curvature is developed. The reduced high-speed calculation model allows stochastic aspects in the dynamic of the ...
Experimental study of the effect of blade curvature and aspect ratio on the performance of a rotary-wing decelerator
(Elsevier Masson, 2015-05)
The effects of different blade configurations on a vertically falling rotating blade decelerator (pararotor) are studied. A pararotor model equipped with cambered plate blades with different curvatures was tested in a wind ...
Representation Equivalence and p-Spectrum of Constant Curvature Space Forms
(Springer, 2015-01)
We study the p-spectrum of a locally symmetric space of constant curvature Γ∖X, in connection with the right regular representation of the full isometry group G of X on (Formula presented.), where τp is the complexified ...
Soliton Almost Kähler Structures on 6-Dimensional Nilmanifolds for the Symplectic Curvature Flow
(Springer, 2015-10)
The aim of this paper is to study self-similar solutions to the symplectic curvature flow on 6-dimensional nilmanifolds. For this purpose, we focus our attention on the family of symplectic two- and three-step nilpotent ...
Negative Ricci curvature on some non-solvable Lie groups II
(Springer, 2020-04)
We construct many examples of Lie groups admitting a left-invariant metric of negative Ricci curvature. We study Lie algebras which are semidirect products l= (a⊕ u) ⋉ n and we obtain examples where u is any semisimple ...