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Homeomorphisms of twodimensional manifolds
 Houston J. Math
, 1985
"... homeomorphisms of 2manifolds apparently has been hampered by the existence of homeomorphisms with widely erratic behavior (see, for example [2], [3], [9]). While even diffeomorphisms are frequently nonflowable, the behavior of homeomorphisms (for example, in the neighborhood of fixed points) can b ..."
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homeomorphisms of 2manifolds apparently has been hampered by the existence of homeomorphisms with widely erratic behavior (see, for example [2], [3], [9]). While even diffeomorphisms are frequently nonflowable, the behavior of homeomorphisms (for example, in the neighborhood of fixed points) can
TRANSITIVE FLOWS ON TWODIMENSIONAL MANIFOLDS
"... A flow O = {<frt\teU} on a space M is strongly transitive provided that there is a dense Gs set G in M such that for each p in G the trajectory of p, T(p) = {0,(/>)f e R} is dense in both time directions in M. In this case, we shall say that the space M is admissible. Thus, for example, the ..."
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A flow O = {<frt\teU} on a space M is strongly transitive provided that there is a dense Gs set G in M such that for each p in G the trajectory of p, T(p) = {0,(/>)f e R} is dense in both time directions in M. In this case, we shall say that the space M is admissible. Thus, for example, the torus is admissible because the irrational flow [8]
A Remark on Integrable Poisson Algebras and Two Dimensional Manifolds
, 1996
"... The relations between integrable Poisson algebras with three generators and twodimensional manifolds are investigated. Poisson algebraic maps are also discussed. ..."
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The relations between integrable Poisson algebras with three generators and twodimensional manifolds are investigated. Poisson algebraic maps are also discussed.
The Calderon problem for twodimensional manifolds by the BCmethod
, 2002
"... This paper is a corrected and extended version of the preprint [3]. Our results are the following: ffl we show a relationship between the Calderon problem and Function Algebras and give a new proof of Theorem 1 exploiting this relationship; ffl a simple formula (see (1.6)) linking the DNmap to the ..."
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Cited by 23 (2 self)
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map to the Euler characteristic of the manifold is derived
Some twodimensional manifolds with affine connections
"... Here we present some simple manifolds with affine connections to get some feeling for how things like curvature manifest themselves. All the affine connections we consider will be LeviCivita connections and so are torsion free. Recall that the LeviCivita connection ..."
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Here we present some simple manifolds with affine connections to get some feeling for how things like curvature manifest themselves. All the affine connections we consider will be LeviCivita connections and so are torsion free. Recall that the LeviCivita connection
Invertible Linear Differential Operators on TwoDimensional Manifolds
"... . In case of two independent variables invertible linear differential operators structure is described. It is proved that a twosided invertible operator can be written as a composition of triangular invertible operators in the stable sense. The form to which a leftinvertible operator can be reduce ..."
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. In case of two independent variables invertible linear differential operators structure is described. It is proved that a twosided invertible operator can be written as a composition of triangular invertible operators in the stable sense. The form to which a leftinvertible operator can
Linearizability of dwebs, d ≥ 4, on twodimensional manifolds
, 2008
"... We find d − 2 relative differential invariants for a dweb, d ≥ 4, on a twodimensional manifold and prove that their vanishing is necessary and sufficient for a dweb to be linearizable. If one writes the above invariants in terms of web functions f(x, y) and g4(x, y),..., gd(x, y), then necessary ..."
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We find d − 2 relative differential invariants for a dweb, d ≥ 4, on a twodimensional manifold and prove that their vanishing is necessary and sufficient for a dweb to be linearizable. If one writes the above invariants in terms of web functions f(x, y) and g4(x, y),..., gd(x, y), then necessary
Radial Control Algorithm for Two Dimensional Manifold Computation
, 2013
"... Abstract: The Algorithms of manifold computation are still remained to be optimized. The low computing errors and high computing speed are always two incompatible factors. This paper takes the discrete system as study object and combines the manifold extending methods with radial control algorithm. ..."
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Abstract: The Algorithms of manifold computation are still remained to be optimized. The low computing errors and high computing speed are always two incompatible factors. This paper takes the discrete system as study object and combines the manifold extending methods with radial control algorithm
EXPLICIT INTEGRABLE SYSTEMS ON TWO DIMENSIONAL MANIFOLDS WITH A CUBIC FIRST INTEGRAL
, 2010
"... A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these models hinged on the solution of a nonlinear third order ordinary differential equation which could not ..."
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A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these models hinged on the solution of a nonlinear third order ordinary differential equation which could
ABSTRACT The DirichlettoNeumann Map on TwoDimensional Manifolds With Boundary
, 2005
"... This paper deals with a reconstruction problem for the conformal structure of a 2dimensional manifold with boundary assuming knowledge of the DirichlettoNeumann operator. We first develop necessary results in the theory of Riemann surfaces and Banach algebras. We then use the assumed information ..."
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This paper deals with a reconstruction problem for the conformal structure of a 2dimensional manifold with boundary assuming knowledge of the DirichlettoNeumann operator. We first develop necessary results in the theory of Riemann surfaces and Banach algebras. We then use the assumed information
Results 1  10
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2,570