13.07.2015 Views

Metric Structures for Riemannian and Non-riemannian Spaces M ...

Metric Structures for Riemannian and Non-riemannian Spaces M ...

Metric Structures for Riemannian and Non-riemannian Spaces M ...

SHOW MORE
SHOW LESS
  • No tags were found...

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

8 nOl ¢ ~ 8 n.l ¢I~Rp+g 8 ni tp+: pZtuP"%8T"($?p l ©©¤ w~ >,sq\.(p+u q182r n S r2'+u s!8t(l‡.(pZru('?tp j "($+p0Z"($+p@m$?pZt pZtur n )08 pZt q1! 8#: ¢ qvuXqvu(82.(p+"t q;)9"%8 "($?p ©y>,sq1.(p0+u q\8+r n S pq9u p0apZt( X 3t(8' {'!?ql u p n: >,u q\.(q n rt ~ 4 > 4 .(p+" tq;) j @m$?q n p ¢ qvu n8)Zr nvnO q9u(82.(p+"t q;)@Gq\"($`"($+p>uB"r2+s?rtsru9@:p nvn |¥"(86 " j 82?p_)r2 "('?t% "%8U.T8tp 3p0?pZtr n ¢ j u('*)=$ruWu(8 n r#a n p q#p` t%82' { uz:Q83tpsd8.(rq\u @ $r q1! 8 n†' ul @ ~NU l 8 nOl @ ~ ~¦| S pZt p j qV"Wu pp.(uP.T8tpesq [)0' n"r-o 4 8v;y:Q83tm@m$+r-"Aq9u !8-@m q1r"($?q9uGtp0 rts ~4|'¥ p pZtB"%$?p n pZuu j q\"Wu pZp0.§um!82"9"(8€a-p"%8\u($!8-@ "%$+r-" ¢p ¢ )r#€*8#"^a-p©¢ >;p nvn q { "q1)m:Q8t^*82d>,u { $?ptq1)Zr n ¢p|"(88‚$rts¡¢¡ ¡¥ ¥¡¡^K& ¡ § % £ !£¦§ 33x" pG"z t%82' { u l u pZp 4 $ |!3?|5 ] ~¦| 'p u('! 2 3pZuB"s"%$+r-"m"%$?p tpZrs?pt n88¤*q\G"%8T"($?q9u |M $?pIg t q1 q9s i p 6 r2. { n pC| z+w u] p?ptr n q\WZpZup"%8 "($*83u p l !82"`8 nO ?q n { 8#"p0G" ~¢ @m$?q;)=$ r3sd.(qV"Qr2 qvu(82.(p0" t%Ob 3t(8' { @GqV"%$ ¢ )082. { r2)+"Qr#s @m$?ptp "($+pv6 $+r2'+uB" q182 @ q1 q '?pHu&"q\8'ur-"qvu ©+pZu 8 nOl @ ~ 8 n†' ul @ ~jˆ * :Q83t mˆ * |ppZt p j r2 pHru(O\rt% 2'!.(p"Xu($!8-@Au"($r-"7"($+pGp 6 qvuB" p*)¦pm82:Breu($!8t("7.§r { P^6¢ ˆ ¢S 8 n.lP&r ¢ ¤ ~ 8 nOl @ ~ q1. { n q#pHuj"%$+r-"p"($+ptp\p 6 q9u&"u8r n8d)Zr nvnO q9uB8.Jp0" tq1) l r2+s@Gq\"($j )+8 ptq\! ~ .§r { ¢ ˆ ¢ |$?p*)¦p$?p 8 n'!.(p\tq1 q9sqV"&Or"%$?p083t p. r n uB8[ 3p0?pZtr n q1WpHu j r-" n pZruB"j"%8["%$?pT?q n { 8#" pG"Mtr#.(p0@P8t" j r3u n8! PruU82?p { ruu pHuT"(8 4 rt(*8#"B> 4 rtr-"%$?p08sd83t(O„.(p+"t q;)u | t 83t:6 r2. { n p j q\: ¢ r#+s ¢ rt pr)+82. { r)?" j )+8G"r2)+" 4 > 4 .§r#+qV:Q8 n s?uT82:8sq1.(p0+u q\8pU C ¤ ¤ w rs!.Jq\"B"q\* Qr u p q '?p*)¦p 8#: .§r { uPY6 ¢ ˆ ¢ @Gq\"($¤sq n;lP ~zˆ *©r#slP ~lspn P ~ † ] u ¦sqn q1. u(' {q1+u&"r#*)p j @m$?ptp982?pGu($!82' n s_!8#" 'u pGp 6 $r#'+uB" q182+u aO‚ar nvn u ¡Ql ©@ ~ aO tr#"($?pZtaOq\:QOX"%8 { 8 n82 q;)r n )082+u p q '?p*)¦pHu 82: ¢ >;p nvn q { "q1)qV"&O u q\g)¦pP82?p>sd8cpZu!82" !8-@"(8Yq9sp0G"uB8 n r#a n p qvp t%82' { u:rt pesq9u&"q\* 2'?q9uB$+pZsraO€"($?pZq#tGq9u(8 { ptq\.(p+"t(O l u pZpq\:I"%$?p: $Xr-ol [:/r2)?" j "%$?q9u .§rO a-pWp 6c{ p)+" pHsT@GqV"%$[.T8tpm p0+ptr n j p | | $O { pt%aK8 n q1)9.§r#+qV:Q8 n s?u¢ @Gq\"($*r u('?qV"r#a nO s?p ©*?pHs ¢ >;p nvn q { " q;)¦q\"&O j )+8. { rtpGu p)?" q182u x (q1 : t%8v; ¦ > ¢ | ~ˆ ¢ :Q8t§© U sq1. l ¢ ~) s?q\. l ¢I~ @Gq\"($¢9¤P 9 l ¥F~ ¦ )082+uB" 8 nOl @ ~¢ *8#"($+pteq\G"ptpZuB" q1! n q1?pT8#:s"($!8'! 2$G" qvu u('! pZuB" pHsaO q { u%)=$?q\"(WT.§r { u7PL6 ˆ * r2+s :Q83tu(82.(ps) n8 u pHs ©y> :Q8t%. ¥ q1 ¢ | M $?q9u { t(8a+r#a nO )r2‚ap9)rt tqvpZs:Q8t pZt { tp+"B"&O/:/rtj:Q8t ¢ U 0 † j a!'d"Yq\ .T8tp‚ 3p0?pZtr n )r3u pHu j @:p\rt p q1. { pHspZs aO8"($+per2a+u p0*)p~82: l { t(88#:/uP82: ~ uB'?q\"r2a n p ©y>,sq1.(p0+u q\8+r n q9uB8 { pZt q1.(p+"t q;)Aq1?p q '+r n q\" qvpZuq1r*82d>;p0'*) n q9spHr# u { r)¦pHu ¢ 8#:=sq1.Jp+u q\8 , © l )+8. { rtp : t%8v; ¦©¦ ~¦|

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!