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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) (Paperback, Softcover reprint of the original 1st ed. 2000) Loot Price: R5,746
Discovery Miles 57 460
Proceedings of the Second ISAAC Congress - Volume 2: This project has been executed with Grant No. 11-56 from the Commemorative...

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) (Paperback, Softcover reprint of the original 1st ed. 2000)

Heinrich G.W. Begehr, R.P. Gilbert, Joji Kajiwara

Series: International Society for Analysis, Applications and Computation, 8

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Loot Price R5,746 Discovery Miles 57 460 | Repayment Terms: R538 pm x 12*

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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

Imprint: Springer-Verlag New York
Country of origin: United States
Series: International Society for Analysis, Applications and Computation, 8
Release date: September 2011
First published: 2000
Editors: Heinrich G.W. Begehr • R.P. Gilbert • Joji Kajiwara
Dimensions: 240 x 160 x 42mm (L x W x T)
Format: Paperback
Pages: 821
Edition: Softcover reprint of the original 1st ed. 2000
ISBN-13: 978-1-4613-7971-3
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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LSN: 1-4613-7971-7
Barcode: 9781461379713

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