Volume 2: This project has been executed with Grant No. 11-56 from the Commemorative Association for the Japan World Exposition (1970) /
نام نخستين پديدآور
edited by Heinrich G. W. Begehr, Robert P. Gilbert, Joji Kajiwara.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Boston, MA :
نام ناشر، پخش کننده و غيره
Springer US,
تاریخ نشرو بخش و غیره
2000.
فروست
عنوان فروست
International Society for Analysis, Applications and Computation,
مشخصه جلد
8
شاپا ي ISSN فروست
1388-4271 ;
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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)).
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781461379713
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential equations, Partial.
موضوع مستند نشده
Functional analysis.
موضوع مستند نشده
Functions of complex variables.
موضوع مستند نشده
Integral equations.
موضوع مستند نشده
Mathematics.
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