共查询到10条相似文献,搜索用时 125 毫秒
1.
Sheng Zhi Zhu 《数学学报(英文版)》2010,26(8):1449-1456
We prove that the set of vector fields satisfying the C1 stable shadowable property on closed surfaces is characterized as the set of Morse-Smale vector fields. Hence, the vector fields satisfying shadowing property on closed surfaces are C1 dense. 相似文献
2.
The compactness theorem of the closed embedded minimal surfaces of fixed genus in a 3-dimensional closed Riemannian manifoldN is proved, providedN is simply connected and the nonpositive value set of Ricci curvature is sufficiently concentrated within finite balls and the minimal surfaces are uniformly away from these balls. 相似文献
3.
In this note we consider asymptotic results for self-intersections of closed geodesics on surfaces for which the angle of the intersection occurs in a given arc. We do this by extending Bonahon's definition of intersection forms for surfaces.
4.
Daniele Bartolucci 《Calculus of Variations and Partial Differential Equations》2010,38(3-4):503-519
Motivated by a question recently posed by H. Brezis we provide uniqueness and bifurcation results for some semilinear elliptic equations on two dimensional closed surfaces with exponential nonlinearities. 相似文献
5.
In this study, by using the concepts and results on spherical curves in dual Lorentzian space, we give the criterions for ruled surfaces with non‐lightlike ruling to be closed (periodic). Moreover, we obtain the necessary and sufficient conditions to guarantee that a timelike or a spacelike ruled surface is closed (periodic). Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
6.
We study the SL(2, ?)-infimal lengths of simple closed curves on halftranslation surfaces. Our main result is a characterization of Veech surfaces in terms of these lengths.We also revisit the “no small virtual triangles” theorem of Smillie and Weiss and establish the following dichotomy: the virtual triangle area spectrum of a half-translation surface either has a gap above zero or is dense in a neighborhood of zero.These results make use of the auxiliary polygon associated to a curve on a half-translation surface, as introduced by Tang and Webb. 相似文献
7.
In this work we show that the Wecken theorem for periodic points holds for periodic homeomorphisms on closed surfaces, which therefore completes the periodic point theory in such a special case. Using it we derive the set of homotopy minimal periods for such homeomorphisms. Moreover we show that the results hold for homotopically periodic self-maps of closed surfaces. This let us to re-formulate our results as a statement on properties of elements of finite order in the group of outer automorphisms of the fundamental group of a surface with non-positive Euler characteristic. 相似文献
8.
Ju. I. Manin 《Publications Mathématiques de L'IHéS》1966,30(1):99-113
Résumé Letk be a perfect field of arbitrary characteristic. The main object of this paper is to establish some new objects associated
with algebraic surfaces F defined overk which are invariants for birational transformations defined overk. There are two main applications. The first is that if K is any extension ofk of degree 2, then there are infinitely many birationally inequivalent rational surfaces defined overk which all become birationally equivalent to the plane over K. The second application is to a partial classification of the
del Pezzo surfaces for birational equivalence overk. For our purposes a del Pezzo surface defined overk is a nonsingular rational surface with a very ample anticanonical system, so the nonsingular cubic surfaces are a special
care. As we use the language of schemes, we have to prove some classical results in the new framework, notably some results
of Enriques [7] on the classification of rational surfaces. In the last section we produce evidence for the conjecture that
if the fieldk is quasialgebraically closed (in the sense of Lang [11]), then a rational surface defined overk always has a point on it defined overk.
We shall now describe the contents of our paper in more detail.
相似文献
9.
We investigate closed 1-forms with isolated zeros on surfaces with edge. A criterion for the topological equivalence of closed
1-forms is proved. 相似文献
10.
Andrew Vince 《Graphs and Combinatorics》1993,9(1):75-84
A short graph theoretic proof of the classification of closed surfaces is given. The new proof has the feature that the symmetric canonical graphs for the surfaces do not correspond to the canonical polygons in the usual proof of the classification. 相似文献