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.

"%Jr$/†c _ " K^A£'[/)K$&.B)&p25BD&GF=aA$H$-+(i4Q$ *¤&.2a'0A$BD&.'[=>4 X K$(+?;Kh25BD&k?¨=a*¤,$-i&/)&.-iJ=56Z,25B W ( c &>c W K£2rCa&O4$=q2>H£')=>-+AF/)&.-iJk?=>4¡/)(+4^A$=>A}' ,£25B)/ X (7/DKpBD&.'),%&.?g/e/D= | &.H}&9'e$aA$&')(i45$aA$-§ 4k/DK$&=5/DK$&BeK£2>4£G X &?2>4$>&¨/')(i4Q$>A$- 25BeGF=aA$H$-+(i45$¤*¤&.2a'0A£B)&9'/)=¤H%&x/)K$&`'D25*¤&ac¢ ¨ ¤ X K£(+?;Kp/)&.4£G$'ƒ/D=-$c/)K}2-+')= =aHF/D2>(i4h'0(+45$aA$-+2>BIG$=>A$H$-+(+45$\*¤&92>')A$B)&9'[=a4 2>4¡J%4CmH¡J /;2(^(+45$%] © 4 $a&4$&.BD2>-!ƒ25B)/)&9'0( 254",£B)=FGFA£?¨/D'I=56MGF=>A$H£-i(+45$ *¤&92>')A$B)&9'2>B)&pGF=>A5.,$BD=FGFA£?g/;'c&.H}&9'e$aA$&3*¤&.2a'0A$BD&3H$AF/I4$=5//DK$&k=>/)K$&.B X 2rJ 25BD=>A$4}G c =F&& c ] H}_x=>4",@c Dd=56|=¡/)&.(i4/ ¥ c ,X -i&/`A£'GF&.'D?¨BD(+H}&32?¨- 2>'D'M=56ƒ')(+45$>A$- 25BGF=aA$H$-+(i4Q$p*¤&92>')A$B)&9'M=>4 X K$( ?;K;='0&68BD=>* de(i&.*3254$4')A$B)6 2>?¨&9'c | &/ % § 2>4£G % H%&/ X =j?¨=>*¤,£2a?g/kde(+&*32>4$425BD(2a?¨&9' X (7/DK$=>AF/1H}=aA$4£G$2>B)JI254£G X (i/)Kq?¨=a*¤*I=a4$>&4^A£'I0-‹ 3ac | &¨/ 6]7 % § 8 %')A$B06=>BD(i&.4¡/D2*¤=aB),$K£(+')* X K$( ?;K (+'`4$=5/K$=a*I=>/)=a,$(+?I/D=2H%&q254% § 254£G % 25BD&( '0=a*¤=>BD,$K$( ?[2>'xde(+&*32>4$4Z')A$B)6 2>?&.'E/)=p/)K$&¤A$,£,}&.BK£25-i6?. ,£-+2>4$&=56l ¢ G S ¤ 7 © *fG ‹M ¤ac | &¨/ £ 7 Y©8 Y H}& =aHF/D2>(i4£&.G H¡J -i(i6~/)(+45$ 6 7Y§ 8 %E/D=I2*325,$,£(i45$IH%&¨/ X &&4k/)K$&MA$4$(+C>&.BD'D25-s?¨=*¤=>BD,$K$( '0*3'/)= $a&¨/¤/)=PYIc % & ?2>4h?;K£=¡=¡'0&/)K£&.')&A£')(i4Q$\/DK$&A$4$(i68=>BD*¤(A7.(i4Q$Z(=>6v/DK$&i=a'0/)= X B)(\$>( GF(i/:J/)K$&.=>BD&* (i*¤,$-+(i&9'M/)K£25//)K$( '*¤&.2a'0A£B)& % *A£'0/C>&.BD')(+=>425B X (i/)KB)&9'0,%&.?¨/ /)= | &.H}&9'e$aA$&x*¤&.2>')A$BD&>c ] =F&&M, + $a2>BDGj/†c _H%&`?¨=>*¤,$-+&¨/D&-+Jk')(i45$aA$-K^A£' X & $>&¨/3254£=5/)K£&B?-+2a')'=56E')(+45$>A$- 25B¤GF=aA$H$-+(i45$\*¤&.2>')A$BD&.'[=>4j/DK$&p-i(+4$&>c"K$&9'0&"GF=aA$H$-+(i45$ *¤&92>')A$B)&9'pK£2rC>& 2h-i=>/ =56I')&-i6?. '0(+*¤(i- 25BD(7/:J W ?¨=>*¤(+45$ 68B)=a* /)K£&"/DK$&kA$4£(768=aB)*¤(87.2H$(+A£'`/)B;254£'068=>BD*324}'`2>'D'0=F?(+25/)&.GZ/D=% 5c " K$&4£2')& X K$&.B)&q/)K$& ¨ ? 'I25BD&k25-+-1/)K$&p')2>*I& W ')2rJ$_¨c=56e/DK$&de(i&9'7,$BD=^G$A£?g/;'" K$&.B)&x( 'e4$=3'0A}?;K $aB)=aA$,k68=aB /)K$&`d(i&9'7x,$BD=FGFA£?g/;'cD3 3 ¢¡¤£¦¥¨§¦©£¦¥©£¥¡¡ ¥¥§¡¤§ ¤§¢ ¤!¦" K^A£' /DK$&`de(+&.'7,$B)=FGFA}?g/ ] Mc c83F¡_ GF&HG£4£&.'23GF=aA$H$-+(i4Q$3*I&92>')A$BD&M=a4 1c =^&.&"')= c ] 2¡_ƒ=>4p, c DpI=56 , =^/)&(+4/¡ ¥ƒc25-] Mc cA3…a_( 'v?=>*¤,$-+&¨/D&-+J¤')(+45$>A$- 25B X (7/DK©†/v/DA$BD4£'f=aAF/v/DK£2')A$B)&9' /)=H%&E')&-i6?.†')(i*¤(+-+2>B¦H^J`/D2z(^(i45$2>-i-F/DK$& ¨z? 'H$-+(i4Q$£c _K$&.B)&`2>B)&`GF=aA$H$-+(i4Q$q*¤&.2>')A$BD&.' =a4 ] 254£GK£&4£?&`=>4 4C@_ =>6/)K$&68=aB)* %\l"] Es_ , E X K$&BD&£¢ ] E%_Y(+'Y/DK$&e?;K£25B;2>?¨/)&BD( ':/D(+?68A£4£?g/D(i=a4=>6}2O')&¨/ X K$=¡'0&ƒ?¨=a*I,£-i&.*I&.4¡/¢2 % ( 'I2>H£')=>-+AF/)&.-iJ ?¨=a4a/D(i4^A$=aA£' X (i/)K B)&9'0,%&.?¨/[/D=K£2a'[,%=a')(7/D(iCa&k*¤&.2a'0A£B)&ack=^A£?;K?¨=a4F68=>BD*325-1*¤2>,$,$(+45$£c ƒJ\/DK$&kA£4$(768=aB)*¤(87.25/)(+=>4"/DK$&=aB)&.*/DK$&A£4$(iCa&B;')2>-v?¨=*¤=>BD,$K$( '0*3'¤')= /DK£2*¤=>BD,$K$( ')* GF&HG£4£&.'`2p-+=^?.25-+-iJƒc*I&92>')A$BD& % =a4 ] '0=a*¤&¨/)(+*¤&.'q?.25-+-i&9Gh/)K$& | &H%&.'n$>A£&H.g=¡/)(+&-i/:&9'3*¤&.2>')A$BD&G£4$(i/)&¢ _ W 2>4£G /)K$( 'q*¤&92>')A$B)& % ( 'qGF=>A£H$-i(+45$}c ] =^&.& , 1&.A$Bh + K£- /†c _ +2>'D')=^?(+25/)&9Gj/D=$>BD=>A£,£'`=>6i¥¤

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

Saved successfully!

Ooh no, something went wrong!