Results 91 to 100 of about 41,546 (140)
Robust Control for Underactuated Fixed-Wing Unmanned Aerial Vehicles
MathematicsDynamic surface control (DSC) is a recognized nonlinear control approach for high-order systems. However, as the complexity of the system increases and the first-order filter (FOF) is introduced, there exists a singularity problem, i.e., the control ...
Tianyi Wang, Luxin Zhang, Zhihua Chen
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Singular Levi-flat hypersurfaces and codimension one foliations
, 2007 We study Levi-flat real analytic hypersurfaces with singularities. We prove that the Levi foliation on the regular part of the hypersurface can be holomorphically extended, in a suitable sense, to neighbourhoods of singular points.Comment: 10 ...
Brunella, Marco
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Polar Varieties and Efficient Real Equation Solving: The Hypersurface Case
, 1996 The objective of this paper is to show how the recently proposed method by Giusti, Heintz, Morais, Morgenstern, Pardo \cite{gihemorpar} can be applied to a case of real polynomial equation solving.
Bank, B. +4 more
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Real hypersurfaces in Kähler manifolds [PDF]
Asian Journal of Mathematics, 2001 This paper is concerned with the geometry of embedded real hypersurfaces in a Kähler manifold, where isomorphisms are both holomorphic and isometric in the underlying Riemannian structure. The author introduces their local invariants and compatibility relations, solves the local realization problem, and gives a characterization of the metric sphere in \
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory.
Shihshu Walter Wei
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On real forms of Fermat hypersurfaces
, 2023 In this paper, we compute the number of real forms of Fermat hypersurfaces for degree $d \ge 2$ except the degree 4 surface case, and give explicit descriptions of them.
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On the Work of Cartan and Münzner on Isoparametric Hypersurfaces
AxiomsA hypersurface Mn in a real space form Rn+1, Sn+1, or Hn+1 is isoparametric if it has constant principal curvatures. This paper is a survey of the fundamental work of Cartan and Münzner on the theory of isoparametric hypersurfaces in real space forms, in
Thomas E. Cecil, Patrick J. Ryan
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Electronic Journal of Differential Equations, 2010 We study the nonlinear elliptic problem with discontinuous nonlinearity $$displaylines{ -Delta u = f(u)H(u-mu ) quadhbox{in } Omega, cr u =h quad hbox{on }partial Omega, }$$ where $H$ is the Heaviside unit function, $f,h$ are given functions and ...
Sabri Bensid, Sidi Mohammed Bouguima
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Formulation and proof of the gravitational entropy bound
Journal of High Energy PhysicsWe provide a formulation and proof of the gravitational entropy bound. We use a recently given framework which expresses the measurable quantities of a quantum theory as a weighted sum over paths in the theory’s phase space.
Artem Averin
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