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

&ƒ?-+2>(i*m/)K£25/Y/DK$& ¢O25A£'DGF=aBe&3254£G/)K$& | (+,£')?;K£(7/¨7v*¤&¨/DB)( ?' ,¡ < ,£¢ =>4`/)K$&ƒ*¤=^G$A$-i(%')A£?;K]+M? 'e25BD&x&.'D'0&.4a/D(+2>-i-+J3&9¡A$(+C*¤,£2>B)&>, 1K£&/¥¤¡¦ _¨c ;E25*¤&.-iJ W'),£2>?&M=>62rJ W ')=O/DK£2&9' X (i-+-$H%& { §›. ?¨-+=a')& X K£&4$&.C>&B)+ 2>4£G+/$25BD&¢E2>A£')G$=>Bn&X" K£&4 X &/D2z(>&/DK$&[4$=aB)*32>- ,$BD=:&.?¨/)(+=>4=>61+ /)= +/ 68=aB/DK$&[BD&9¡A$(+B)&9GpH$(*.?¨-+=a')&>c(+,£'D?;K$(i/7x*325,]+ 8—+z c|&/A£'I&XL^,£-+2>(i4j=aA$B¤?¨=>4}':/DB)A£?¨/)(+=>4j=>6e/)K$&p&*H}&9G$GF(+45$ 7 + 8 & c % &|=>6 n( 'k&9')')&4¡/)( 25-+-+J 2„-i=F?.25-M*¤25/0/D&B9c % & '0K£2>-i-MH%&\(+4¡/)&BD&.'0/)&9G (+4/)K£&'0/)A£GFJ?g/DA$B)& X K$&.B)& Š (+'x')*¤2>-i- WŠ¥ ¥ 3 W 2>' X &-+- 2a' Š¥ ¥ © 40d2>G%+ W 254£G X &I'0K£2>-i-,$('k=>6`BD2aGF(iA}' W 'D2rJ ŠFWX K$&.B)& /)K$& $>&.=>*¤&¨/DB)Jh(+'&.'D')&4¡/)( 25-+-iJH%&\-+=^=z(^(i4Q$„26+ l 4C 254}G\=aH£')&BDC>&&A}?¨-+(+GF&9254e_ " K$&k?A$BDCr25/)A$BD&3=56 /DK$&q&*H}&9G$GF&9G ] C@_¤‚ }"W ( c &ac /DK$&k4$=aB)* =56 /)K£&]W (+'OH%=>A$4£G$&.GH^J'0=a*I&A$4$(+C>&.BD'D25-@?=>4£'0/D2>4¡/O?¨=a4£':/El')&.?¨=a4£Gp68A$4£G£25*¤&4¡/D2>-@68=aB)*¢¡¤£¦¥¨§¦©£¦¥©£¥¡¡ ¥¥§¡¤§ ¤§¢ ¤!¦" ¦ ~ , ] +)4£G$'(+4I2x')A$H£'),£2>?&§& ‚ & X (7/DK N l N ] QIBD& W /)K£&*325, w ( 'M&4¡/)(+B)&.-iJX K}2,%&B)/)(+&.'_ p( 'q2\')*¤=^=5/)Kh&*H}&9G$GF(+45$ W ( c &ac W /)K$&68A£4£?g/D(i=a4© ¢D]RF_l© ] GF( ':/ ]R(+4¡/D'q(+4 4C W 254}G„/DK$& GF('&s&BD&4¡/)( 25- £ 7 S ] 4C@_B8 } (+'')&,£2>BD25/)&.'I/DK$&&Ca&BDJ X K$&BD&O(+4¢:&9?g/)(+C>&ac?¨=a4£'0/ C c _ ( 'e(+4^Cr2>B)( 254¡/eA$4£G$&Be/DK$&['D?25-+(+45$ 7 (i6 X &,£2a')'e68B)=a*o254 Š .†4$&¨/ ¢…R ¢ ¤[‚ C]Š .†4$&¨/ ¢FR5¢ ¤`‚$ C l C WFX &$>&/ /)K$&`'D25*¤&x(i*32C$>&x(i4 I} c/)=I/DK$&K$&,£B)=^=56 =>6 ]+ _ W%] _ W 2>4£G ] _f(+'f/)BD(iC^( 25- c3© 4q6 2>?g/ W =a4$&E?.2543')2rJI*¤=>BD& /)K£2>4"W /)K£&BD&(+' /DK$&68=a-i-+= X (i4Q$ ] &9¡A£2>-i-+Jk=aH¡C^(+=>A£';_}9¡A£254¡/)(i/D25/)(+C>&Ca&B;'0(+=>4/)K}2*I&.-iJ]$+ _ 7 =56