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418
Remarks On Rigidity
, 1998
"... This paper treats exible crosspolytopes in the Euclidean 4space. It is shown that the examples presented 1998 by A. Walz are special cases of a more general class of exible crosspolytopes. The proof is given by means of 4D descriptive geometry. Further, a parametrization of the oneparameter self ..."
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parameter selfmotions of Walz's polytopes is presented. Key Words: Flexibility, polyhedra, 4D geometry. 1. INTRODUCTION There is a basic and important question concerning the geometry of structures: Is a given structure rigid or is it not? In the engineering world there is a vigorous interest in rigidity
A Remark on Matrix Rigidity
 Information Processing Letters
, 1996
"... The rigidity of a matrix is defined to be the number of entries in the matrix that have to be changed in order to reduce its rank below a certain value. Using a simple combinatorial lemma, we show that one must alter at least c n 2 r log n r entries of an n \Theta nCauchy matrix to reduce its ..."
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Cited by 15 (0 self)
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The rigidity of a matrix is defined to be the number of entries in the matrix that have to be changed in order to reduce its rank below a certain value. Using a simple combinatorial lemma, we show that one must alter at least c n 2 r log n r entries of an n \Theta nCauchy matrix to reduce
REMARKS ON THE RIGIDITY OF CRMANIFOLDS
, 2005
"... Abstract. A method is proposed to obtain examples of smooth CRmanifolds whose local stability group is neither a Lie group nor infinitedimensional. 1. ..."
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Cited by 1 (0 self)
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Abstract. A method is proposed to obtain examples of smooth CRmanifolds whose local stability group is neither a Lie group nor infinitedimensional. 1.
Questions, Conjectures and Remarks on Globally Rigid Tensegrities
, 2009
"... This a quick review of properties of stress matrices with respect to the global rigidity of tensegrity frameworks, and recent results about generic global rigidity. Then there are some applications and connections to finding specific geometric configurations that are globally rigid. Several conjectu ..."
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Cited by 4 (0 self)
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This a quick review of properties of stress matrices with respect to the global rigidity of tensegrity frameworks, and recent results about generic global rigidity. Then there are some applications and connections to finding specific geometric configurations that are globally rigid. Several
A Remarkable Periodic Solution of the ThreeBody Problem in the Case of Equal Masses
, 2000
"... Using a variational method, we exhibit a surprisingly simple periodic orbit for the newtonian problem of three equal masses in the plane. The orbit has zero angular momentum and a very rich symmetry pattern. Its most surprising feature is that the three bodies chase each other around a fixed eights ..."
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Cited by 104 (10 self)
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shaped curve. Setting aside collinear motions, the only other known motion along a fixed curve in the inertial plane is the "Lagrange relative equilibrium" in which the three bodies form a rigid equilateral triangle which rotates at constant angular velocity within its circumscribing circle. Our
Rigidity for Orientable Functors
 Journal of Pure and Applied Algebra
, 2002
"... Eighteen years ago Andrei Suslin published the following remarkable result concerning the algebraic Ktheory of algebraically closed fields [18]. Theorem 0.1. (A.Suslin) Let F0 ⊂ F be an extension of algebraically closed ..."
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Cited by 15 (8 self)
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Eighteen years ago Andrei Suslin published the following remarkable result concerning the algebraic Ktheory of algebraically closed fields [18]. Theorem 0.1. (A.Suslin) Let F0 ⊂ F be an extension of algebraically closed
Global rigidity results for lattice actions on tori and new examples of volume preserving actions
 Israel J. Math
, 1996
"... Any action of a finite index subgroup in SL(n, Z), n ≥ 4 on the n–dimensional torus which has a finite orbit and contains an Anosov element which splits as a direct product is smoothly conjugate to an affine action. We also construct first examples of real–analytic volume–preserving actions of SL(n, ..."
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Cited by 35 (8 self)
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actions on compact manifolds. These actions display remarkable rigidity phenomena. For a
Results 1  10
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