Displaying similar documents to “Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds.”

C¹ stability of endomorphisms on two-dimensional manifolds

J. Iglesias, A. Portela, A. Rovella (2012)

Fundamenta Mathematicae

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A set of necessary conditions for C¹ stability of noninvertible maps is presented. It is proved that the conditions are sufficient for C¹ stability in compact oriented manifolds of dimension two. An example given by F. Przytycki in 1977 is shown to satisfy these conditions. It is the first example known of a C¹ stable map (noninvertible and nonexpanding) in a manifold of dimension two, while a wide class of examples are already known in every other dimension.

Some constructions of biharmonic maps on the warped product manifolds

Abdelmadjid Bennouar, Seddik Ouakkas (2017)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.

Stability of certain Engel-like distributions

Aritra Bhowmick (2021)

Czechoslovak Mathematical Journal

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We introduce a higher dimensional analogue of the Engel structure, motivated by the Cartan prolongation of contact manifolds. We study the stability of such structure, generalizing the Gray-type stability results for Engel manifolds. We also derive local normal forms defining such a distribution.

Local analysis of hybrid systems on polyhedral sets with state-dependent switching

John Leth, Rafael Wisniewski (2014)

International Journal of Applied Mathematics and Computer Science

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This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods...