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

$ m¥…J¤ jJ¡# mJjx xVJrs ¦ §¥ '`4£=5/')= &HL$?(7/D(i45$ W H$AF/A£4$(768=aB)*bH%=>A$4£G£'`=>4j2>-i-ƒ'04}25,£')K$=5/;'`?2>4"-i&92>GZ/D=')K$=5/[((+4a/D&BD&.'0/)(+45$3':/DB)A}?g/)A£B)&ac4p(+*I,%=>B)/D2>4¡/,}=a(i4¡/e(+'e/)=¤A£')&M*¤&92>')A$B)&M/DK$&=aB)Jac % (i/)K*¤&.2a'0A£B)&M/)K£&=>BDJ X &+X K$( ?;KkK}25,$,%&4¤0*¤=a'0/1=>6 /)K$&O/)(+*¤&£c % &x'0K£2>-i-?2>4k')&&M(i4¡/)&.B)&9':/D(i4Q$[,$K$&.4$=>*¤&.4£2G$GF&4B)(\$>( GF(i/)(+&.' W (i4 X K$( ?;K[/DK$&BD&1( ''0,%&.?(+2>-¡'0/)BDA£?¨/)A$BD&v/DK£2*¤&¨/D(i*¤&.'')&&ƒK$(X K$(+?;K( ' 4$=5/&XLF,$-i( ?¨(i/(+4k/DK$&`GF&HG}4$(7/D(i=a4£'.c4$=>/=^?.?¨A$Be(+425-+-@?¨=a4a/D&HL^/D'e2>4£G4¦2>B0/3© X &1B)&.C^(i& X '0=a*I& GF&XG£4$(i/)(+=>4£' W *32(^(i4Q$E,$BD&.?(+')&f/DK$&1( GF&92E=>6£H}=aA$4£GF&9G©(+4pCB)(+=>A£' X 2rJF'c % &`'0K}25-+- 25- '0=¤BD&C^(i& X &XLF2>*¤,$-i&9' =56*¤&¨/)BD( ?'0,£2a?¨&9'')4£25,£')K$=>/D'X H£2>')(+?O6 2a?g/D'/)=q')K$= X K£= X /DK$&[?¨=a4£?¨&.,F/D' G£//)=p$>&¨/DK$&B9c © 4 ¦2>B0/ © © X &254}Gp2I68&')=>*¤&¤*¤2a?;K$(+4$&BDJ68=>B X =>B¨(^(i4Q$ X (i/)Kj'),£2>?&.'x254}G 68A£4£?g/D(i=a4£' X K$( ?;K$>=p/DK$B)=aA5$>K" K$&BD&.')A$-i/D'eGF( 'D?¨A£'D'0&9G/)K$&.B)& X =>B¨(3(i4$>BD&.25/K£2rCa&OH%=>A$4}G$'e=>4p/DK$&(+B'04}25,£')K$=5/;'c4 ¦25B)/ © © © X &E?=>4£?&4¡/)B;243*¤=>BD&$>&.4$&B;25-+(i/:J254}G325BD&e4$=5/vCa&BDJ[*J^'0/)&.B)(+=>A}'c3©¡¢¡¤£¦¥¨§¢©¢¡¤£ ¦¥ ¦ ¦ ¥ ¡ ©¨ ¥ K$( '325,$,%&4}GF(*LhGF&.'D?¨BD(iH%&.'3')=>*¤&$>&.=>*¤&¨/DB)( ?(+GF&92>'I68BD=>* ?-+2a')')( ?25- 254}25-+J^')( '"% &Z'0K}25-+-O'0/)A£GFJ '),£2>?&.'q2>4£G *325,$,£(i45$¡'k25/254}GH9aA}2>')(+?=>4F68=aB)*325-E*¤2>,$,$(+45$a'.c!fCa&BDJ H£2>-i-1(i4 2*¤&¨/)BD( ?k'),£2>?&3,$B)=-i- &4£?=>A$4¡/D&Bx2C4\2')(i4Q$>-+&I')4£25,5.*[JF'0/)&.B)(+=>A£'1,$K$&.4$=>*¤&.4£2`/DK£2-+C>&M'0,%&.?(+2>-s'0/)BDA£?¨/)A$BD&M2>4£GqK£(+G$G$&4pB)(\$>( GF(i/)(+&.'.c