R -closed homeomorphisms on surfaces
نویسندگان
چکیده
منابع مشابه
N -expansive Homeomorphisms on Surfaces
We exploit the techniques developed in [Le] to study N -expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless surface M with nonwandering set Ω(f) being the whole of M then f is expansive. This condition on the nonwandering set cannot be relaxed: we present an example of a 2-expansive homeomorphisms on a surface with genus 2 ...
متن کاملVortices on closed surfaces
Key words: point vortices, Riemann surfaces, Green functions. We consider N point vortices s j of strengths κ j moving on a closed (compact, boundaryless, orientable) surface S with riemannian metric g. As far as we know, only the sphere or surfaces of revolution, the latter qualitatively, have been treated in the available literature. The aim of this note is to present an intrinsic geometric f...
متن کاملThe Weierstrass Representation of Closed Surfaces in R
The present article is a sequel to [19, 20]. The results presented here extend onto general surfaces the results obtained in [20] for surfaces of revolution and were exposed in a lot of talks of the author during the last year being at the end announced in [21]. These are – a construction of a global Weierstrass representation for an arbitrary closed oriented surface, of genus g ≥ 1, immersed i...
متن کاملThe Weierstrass Representation of Closed Surfaces in R 3
In the present paper which a sequel to 19] and 20] a global Weierstrass representation of an arbitrary closed oriented surface of genus 1 in the the three-space is constructed. The Weierstrass spectrum of a torus immersed into R 3 is introduced and nite-zone planes as well as nite-zone solutions to the modiied Novikov-Veselov equations are constructed.
متن کاملExtending Homeomorphisms from Punctured Surfaces to Handlebodies
Let Hg be a genus g handlebody and MCG2n(Tg) be the group of the isotopy classes of orientation preserving homeomorphisms of Tg = ∂Hg, fixing a given set of 2n points. In this paper we find a finite set of generators for E 2n, the subgroup of MCG2n(Tg) consisting of the isotopy classes of homeomorphisms of Tg admitting an extension to the handlebody and keeping fixed the union of n disjoint pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2013
ISSN: 0166-8641
DOI: 10.1016/j.topol.2013.07.016