Foliations with Singularities of Morse Type on Compact Surface of Genus Zero

2006 ◽  
Vol 169 (1) ◽  
pp. 81-88
Author(s):  
Charalambos Charitos
Keyword(s):  
Author(s):  
Gonzalo Cousillas ◽  
Jorge Groisman ◽  
Juliana Xavier

We study the dynamics of {\it topologically Anosov} homeomorphisms of non-compact surfaces. In the case of surfaces of genus zero and finite type, we classify them. We prove that if $f\colon S \to S$, is a Topologically Anosov homeomorphism where $S$ is a non-compact surface of genus zero and finite type, then $S= \mathbb{R}^2$ and $f$ is conjugate to a homothety or reverse homothety (depending on wether $f$ preserves or reverses orientation). A weaker version of this result was conjectured in \cite{cgx}.


PIERS Online ◽  
2007 ◽  
Vol 3 (7) ◽  
pp. 1044-1047 ◽  
Author(s):  
Hyengcheul Choi ◽  
D. S. Shin ◽  
S. U. Park ◽  
Hyeong Dong Kim

2018 ◽  
Vol 25 (02) ◽  
pp. 1850052 ◽  
Author(s):  
GAO PINGPING ◽  
OUYANG CHUN ◽  
XIE ZHIYONG ◽  
TAO TAO

The Ni-P/TiN coating was used as bipolar plate by electroless plating on Ti. Surface morphology and phase structure of the coatings were characterized by SEM and XRD, respectively. Corrosion resistance of Ni-P and Ni-P/TiN coating was measured in the simulated solution of Proton exchange membrane fuel cells (PEMFCs). The interfacial contact resistance (ICR) was conducted by applied different forces. SEM images indicated that the particles of core–shell structure were formed on the surface of coating on Ti substrate. The core–shell structure was composed of TiN core and Ni-P electroless plating shell. Compared with Ni-P coatings, the Ni-P/TiN coating showed better corrosion resistance behaviors and low ICR (below 10[Formula: see text]m[Formula: see text][Formula: see text] cm[Formula: see text] under pressure of 200 N/cm[Formula: see text]. TiN particles and distribution of core–shell were in favor of the formation of coating and compact surface morphology. The good conductivity was attributed to the compact surface morphology of coating. The Ni-P/TiN coating showed excellent interfacial conductivity and good corrosion resistance at applied high potential in simulated solution of PEMFCs.


2008 ◽  
Vol 55 (3) ◽  
pp. 789-795 ◽  
Author(s):  
Pradeep Agarwal ◽  
Govind Saraswat ◽  
M. Jagadesh Kumar

1999 ◽  
Vol 19 (1) ◽  
pp. 31-33 ◽  
Author(s):  
TAKASHI INABA

An example is given of a one-dimensional foliation (or a flow) on an open surface which admits no minimal set.


1993 ◽  
Vol 13 (1) ◽  
pp. 153-165 ◽  
Author(s):  
Miguel Paternain

AbstractWe prove the following result: if M is a compact Riemannian surface whose geodesic flow is expansive, then M has no conjugate points. This result and the techniques of E. Ghys imply that all expansive geodesic flows of a compact surface are topologically equivalent.


1956 ◽  
Vol s1-31 (3) ◽  
pp. 326-331 ◽  
Author(s):  
E. M. Patterson
Keyword(s):  

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Thomas G. Mertens ◽  
Gustavo J. Turiaci

Abstract We study two-dimensional Liouville gravity and minimal string theory on spaces with fixed length boundaries. We find explicit formulas describing the gravitational dressing of bulk and boundary correlators in the disk. Their structure has a striking resemblance with observables in 2d BF (plus a boundary term), associated to a quantum deformation of SL(2, ℝ), a connection we develop in some detail. For the case of the (2, p) minimal string theory, we compare and match the results from the continuum approach with a matrix model calculation, and verify that in the large p limit the correlators match with Jackiw-Teitelboim gravity. We consider multi-boundary amplitudes that we write in terms of gluing bulk one-point functions using a quantum deformation of the Weil-Petersson volumes and gluing measures. Generating functions for genus zero Weil-Petersson volumes are derived, taking the large p limit. Finally, we present preliminary evidence that the bulk theory can be interpreted as a 2d dilaton gravity model with a sinh Φ dilaton potential.


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