Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
|
Buy Now
Proceedings of the Second ISAAC Congress - Volume 2: This project has been executed with Grant No. 11-56 from the Commemorative Association for the Japan World Exposition (1970) (Hardcover, 2001 ed.)
Loot Price: R5,767
Discovery Miles 57 670
|
|
Proceedings of the Second ISAAC Congress - Volume 2: This project has been executed with Grant No. 11-56 from the Commemorative Association for the Japan World Exposition (1970) (Hardcover, 2001 ed.)
Series: International Society for Analysis, Applications and Computation, 8
Expected to ship within 10 - 15 working days
|
Let 8 be a Riemann surface of analytically finite type (9, n) with
29 - 2+n> O. Take two pointsP1, P2 E 8, and set 8 ,1>2= 8 \
{P1' P2}. Let PI Homeo+(8;P1,P2) be the group of all orientation
preserving homeomor- phismsw: 8 -+ 8 fixingP1, P2 and isotopic to
the identity on 8. Denote byHomeot(8;Pb P2) the set of all elements
ofHomeo+(8;P1, P2) iso- topic to the identity on 8 ,P2'
ThenHomeot(8;P1,P2) is a normal sub- pl group ofHomeo+(8;P1,P2). We
setIsot(8;P1,P2) =Homeo+(8;P1,P2)/ Homeot(8;p1, P2). The purpose of
this note is to announce a result on the Nielsen- Thurston-Bers
type classification of an element [w] ofIsot+(8;P1,P2). We give a
necessary and sufficient condition for thetypeto be hyperbolic. The
condition is described in terms of properties of the pure braid [b
] w induced by [w]. Proofs will appear elsewhere. The problem
considered in this note and the form ofthe solution are suggested
by Kra's beautiful theorem in [6], where he treats self-maps of
Riemann surfaces with one specified point. 2
TheclassificationduetoBers Let us recall the classification of
elements of the mapping class group due to Bers (see Bers [1]).
LetT(R) be the Teichmiiller space of a Riemann surfaceR, andMod(R)
be the Teichmtiller modular group of R. Note that an orientation
preserving homeomorphism w: R -+ R induces canonically an element
(w) EMod(R). Denote by&.r(R)(*,.) the Teichmiiller distance
onT(R). For an elementXEMod(R), we define a(x)= inf
&.r(R)(r,x(r)).
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|