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...

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

w > w r#: " pZtFr nvn | M 8X"%$?qvuFp0s j @FpWuB"rtB"s@GqV"%$["($+p~)r3u p§© U C r#+s n88 @>ruXq1+spZpZs p l r ~ @Gq\"($r"&@P8`8 {?{ 83u qV"p { 8q1G"u>q9sp0G"q ©+pHs | t q#tuB" j @:per3u u('!.(p~"($+r#"r-"9"%$?pX)+'?t0 v r2+s*r {+{ nOT"%$?pYqvu(8 { ptq\.(p0" tq1)Wq\?p q '+r n qV"&O_"%8_) n rq\."%$+r-">pZr)=$[$+r n:@:p8rtpWq1 p aK82'!+s+uAr# rtpZr . ¡Ql + #C3~ r#+s u(8`"%$?pX@m$!8 n p‚)0'?t p~aK82'*+s?uAr2+s8#:"($+p‚)+'?t. t pHr l¢¡Ql + ~ ~¦| p "($?pQtp)Zr nvn "%$+r-"Wr` p?ptr n 4/£¥(+/0 ¢ q9u n8)Zr nvnOrtpZr© nvn pHsraGOQrJs?qvu U82:t pHr . + v 0z ¤ l + v ~dR n#n ptm"%$+r# t pHr ¡ l + ~ #C"U + v #C :Q83tWu(.(r n#n + | q\*)pX:Q8tYr#O { rqvt@m$?q;)=$6qvu8uB.§r)08 nvn r { u q\! { 83q\G"u b r#+s t q1 0 v 82?p)r2 ©*+s*r sq9u ¡ q\ 0 v $+r q1! ‚"%$?p0.8#:$+r p 8 nOl rs tnZw~ U 8 n.l£¡ l + ~ ~ :Q8t u(.(r n#n ar nvn u ¡ l + ~4| ‡:/r)?" j "($+qvu rt( '!.(p0G"r n u(88u($!8-@Auk"%$+r-""($+p n8d)r n q1 ptu p^.§r { u qvu q { u%)=$?q\"(W j u q1*)¦p )r2!!82"a?tq1! q { u()=$+qV"%W j q\">q9u9?p)¦pZuurtq nO§qvu(82.(p0" tq1) jq9uq\*)p§qV"u sq\l-pZt pG" q9r n q9u r | p | q9u(82.(p+"t q;) | l/m t(8a+r#a nO j "($?q9u p 6 "tr g q { u()=$+qV"%W i qvuuurt%O j a!'!"z@FpX 3p+"GqV"m:Q83t9: t pZp r#O@:rO ~4|'!!+p)¦pHu8-@ @:pj"%'?t%€"(8 "($?p )r3u p © ¦ R r#s[)+8+u q9spZt ©* '?tp l 1~ r#aK8 p j @m$+ptpz"($+p )+8ttp)?" "($?q9u¥w©9tnZwq1*)¦p q9u q { u%)=$?q\"(W j "($+pXq\G"p0 tr#sWq9ukaK82'!spZspaO + 8 n†' u 6 l + ~ © U 8 n ¡ l + ~4|'d" j qV:Xu(82.(p { 8q1" l p~ p q '+r n u l } ~4j "($?pZ"($?p q1G" p tr#+sra-p)+8.(pZuAu(.§r nvn pZt,¡¢¡ ¡¥ ¥¡¡^K& ¡ § % £ !£¦§ 3+wnvn l6 l + ~ ~ aO[uB8.JpXar nvn@l 83tm._83t pX 3p0?pZtr n ©y>A)=$+rq\ ~ q\ ¢ @GqV"%$ 8 n'!.(p n pZuu© 8 nOl£¡ l + ~ ~4j @:p€@s8' n s rt tq p§r-" r )082G" trsq;)?"q\8 j "%$'+u\u($!8-@Gq1! Z"($+r#""($r#r n.T83uB"Ap0'*) n q9spHr# j r2+suB8§p pZt(O u('[)¦qvp0G" nO[uB$!83tB"j)0'?t p 8#: n p0! 2"($ +T)Zr#Za-p8 {+{ 8 u q\" p 82 ¡ j @:pX)+82g) n'+sp~"($+r#" ¥Jc$:!£\"#H¨0"¡" Q-£,; 0B£ q\r8tsptP"%8"&@P8_8 {?{ 83u qV"p { 8q1G"um8 ¡Ql + ~ "(88€) n83u p"(8 p+"%$?pt ju q\*)p`@:p $r p r/ 288s.§rt% q1 "%8/'+u pJq\ 82'?teq9uB8 { pZt q1.(p+" tq;) q1?p q '+r n q\"&O | ¥ 8-@ j82g)¦p @Fp !8-@"%$+r-"9"%$?p q\ ptu p~8#:p l6 l + ~NU ¡ l + ~ ~:{ r3u u pZus"($+t(8'! 2$/"($?peq1.§r# p 82: "($+p‚)¦p0G"pt l } ~ U ¢ |q1.(r2© nvn l6 l + ~ ~ trsq9r nvnO : t(8. "%$?p‡)¦pG" pt l }3~ r3u u('!.(q1! ¢ U 0 † | M $+pp8 n'*.Jp 82:I"%$?p t pHuB' n"q\! €)082?q;)r n © n#n q\* §qvu98a q182'+u nO€ag8'!+spHs/aOl ~ a z©* (t p0: ptp0*)p l }3~+ #C 82 rWs?p ©*?q\" psa+r nvn j u rO~8#:?trsq1'+u + 2C q\"6 l + ~4j @m$+q1)=$‚.§r pZu "($?p:t pHuB' n"(>"($r#\q1G" p0 3tr n u(.§r nvn pZt^"%$+r# 8 n.l¢¡Ql + ~ ~ aO*r\sp ©*?q\" per#.T82'*" ¦ l C © ~ K† + † |7M $?qvuq1!r {+{ n qvpZu:p q 'r nvnO€"%8`*82d>;p0'*) n q9spHr# tqvp0.§r#!+qvr2 ¢:Q83tGuB.§r nvn +\r#sU@m$?pZt p j :Q'?tB>"($+pt%._83t p j "($?p9)+8+sq\" q182 l p~ U l }3~ )r2‚apFt p n r 6 pZs "%88sq9u&" l l p ~dR l } ~ ~.

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

Saved successfully!

Ooh no, something went wrong!