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47 sonuçtan 1-3 arası sonuçlar
Sayfa 6
The proof of Lemma 4 implies the following statement . Lemma 7 . Two
hyperbolic elements of PSL ( 2 , R ) commute if and only if they have the same
fixed points as linear fractional transformations . Let I be a hyperbolic element .
Then ci + 0 .
The proof of Lemma 4 implies the following statement . Lemma 7 . Two
hyperbolic elements of PSL ( 2 , R ) commute if and only if they have the same
fixed points as linear fractional transformations . Let I be a hyperbolic element .
Then ci + 0 .
Sayfa 7
Theorem 2 . For a hyperbolic class { y } r in TP from statement 2 ) of Theorem 1 ,
alternative ( a ) occurs when V2 tr yol = 3 for p e Pi , i = 1 , 2 , and when 2 tr ypl =
5 for pe Pi , į = 3 , 4 . In those cases , the fixed points of yp in H are rational points
.
Theorem 2 . For a hyperbolic class { y } r in TP from statement 2 ) of Theorem 1 ,
alternative ( a ) occurs when V2 tr yol = 3 for p e Pi , i = 1 , 2 , and when 2 tr ypl =
5 for pe Pi , į = 3 , 4 . In those cases , the fixed points of yp in H are rational points
.
Sayfa 7
The fixed points of g ) : H H are determined by the equation - až + b - cı + d = 2 , b
- až = - c | 2 | 2 + dz . For z = x + iy we have b - ax = dx – cz1 ? , dy = ay . - - = - =2c
In case ( 1 ) , where tr ( gJ ) = d - a ( mod + 1 ) 0 , we have y = 0 , b - ax = dx ...
The fixed points of g ) : H H are determined by the equation - až + b - cı + d = 2 , b
- až = - c | 2 | 2 + dz . For z = x + iy we have b - ax = dx – cz1 ? , dy = ay . - - = - =2c
In case ( 1 ) , where tr ( gJ ) = d - a ( mod + 1 ) 0 , we have y = 0 , b - ax = dx ...
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İçindekiler
A Antipov and A I Generalov The Yoneda algebras of symmetric special | 377 |
A G Bytsko On higher spin U sl2invariant Rmatrices | 393 |
Dirac operator | 409 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
algebraic analytic apply approximation arbitrary argument assume asymptotic bounded called closed coefficients coincides complete condition connected Consequently consider consists constant construction contains continuous corresponding curves defined definition denote depend determined differential dimension discrete edges element equal equation equivalent estimate example exists fact finite fixed formula function given Goursat problem graph hyperbolic identity implies inequality integral introduce invariant lattice Lemma limit linear locally Math Mathematical matrix functions means measure metric Moreover Note obtain operator parameter particular periodic points polynomial positive potential problem Proof proof of Theorem Proposition prove quantum rational reduced regular relation Remark respectively result satisfies sequence side singular solution space spectrum statement Subsection sufficiently Suppose Theorem theory transformation unique values vector vertices zero