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

E9 O ^ 7bXPXgpB § hc^Y ¨ ¨ Duh 8 e/vdnd cFK 8 Kdvd/c>di\Q c>d c&Khv\$]hscI\ cWL"8noO0O00]\vhie>\£d¢ h4>d Qd4F4>h e/WdCcId 8 \4eHdAJM/h4qcI\QhSeI\ = h¢=iḧ #w/h eH\ ¤ GE=T&,KihSe>h84IhIaVKh4Ih 6 !+\ge 8I! _ ¨ =@&,KE5ieIcFKh-:£hw cFKCdA cFK\leV8fcFKT]dnhSe,d/c h>QQ%hḧ vQ%duec! =DG7A¥d::gdfae¢c&4I\Mn\$8::L¢=\ 8::LI\d4R]h4@cId 4>dYMh c&KihdWde>\ cIh\h¢5 8:g\ cWL¤OG7(=GdAIIGIe>\Q%hhM/h4FLIa hrdDueqh4&Mh+cFK8fc c&Kih> Q%d¢ 84Ih£¤ ¦.\:d4¢¡¨ ; 1 I+;= | pcFKhIa¢h-xW5ieqcr4Ih¦A¥h4 c>d(c&Kh!d*BMY8\le&K\w.dA ¥>IaVKh4>h 8w¢8/\pa¢h1]dTd/chḧ ¥ F o§¦ > #; @BA8 S8\A¥d:$ ¨ K8/e!udseq\£c>\M/hH\QQ%\Q¦54FMY8fcF54>hIc&KhNc&KihIaVK\$QRKdA 8 rhc&4I\Q(d ¨ aH\£c&K \QQ%\. I \A d c!A¥d4/&,Kihd4IhA¥d4^c&KhDhQ]\lecIhQhN= ¦ dfaI\TMn\£hSa dA = NIdh-v\wKscHc&Ki\!OCc&K 8fccFKh4Ih 84IhK84R#:L!8EL^eqcF8D:gh=Ie>\:LI¨ Kdvd cIdELrh+5\M 8:£hsc c>d " > d¢4`8 c6:gh8/eqc cId8+e/5ie&Whie>\£d¢hQ]\lece68rQ%d¢:£hc>h" ; aH\£c&K H\$QQ\ ¨ . I=¢|zhM/h \A dh-:gdnd;O]e8 c ©' _ \ !Ff eq\S:L!Q%d¢ḧ Q~c>ḧ dAII¡ ¢¤¦§£b¥¢¡ £§/ ¦P%' ©V!© $P#%£$" 0N K8/ed cFK\wc>d ]daH\£c&KzcFKh+e>\S:ghQdḧ Q~c*|::KcFK\ge@\ge@+5\ cIh c&4I\Mn\$8:C8hhSeIe dA ¨A¥d¢4 c&KhA¥d¢::gdfaH\wr:ghS 8= `5]cIIc&K\leH\leVQ¦4F5Q%\$8:¤ F ¦ ¨81 ¨ y^ 7 !e ^ 7 ! h ! \]r7 _($ _Y^ _W i _© ¤ e ( $ _ 9 e * ^`^B_ ( G¢_ (j Qdieqc# ¦_ hQdieqc 1 Qdieqc > ¨4¤ egf?! W6!¦e9f?!e^V_© @e>h]\wCc&Kh ( * eO/h:£hc>d.dA!c&KihcF4>\$8w5:$8fcI\£d¢ ¤¨ c>dCc&KihrWd/\sc ¨¦ ¨ =G;IeF8 L YEJ ( ( I&,K\lem\5Q%h eN8! 88:leqd!Kdvd cId\$Q[cId^cFKhr\]hsc>\£cWL= § hc5ieCeqhSh.aVK8fc cFK\le#YEN]dnh evc>d 8;* Q%h::@\ ¤Ë5 QRKc8 Q%h::@\lecFKh"4Id##5Q%cIaVKh4Ih 0d"8ze>\w¢:£h Wd/\sc \ ¨8pe>dzc&Kh 8 c&KQ%d¢4&4IhSe&Wd]\wCc>d"8+L\ge3c&4R8ueWA¥d¢4&vh.c>dv81hSa 8 c&K Qdie>\lecI\w dÀ 8fcrdsec \ghQ%h eIWd/\c \ ¤h8¢QRKYdA[c&KihTA¥d4FY > 6 !B;eqc&4R8 \wKsc^eqhwvhsc^\}e>dvh e>\S:ghQ&,K\le"4IdYM/h ezc&Kih\h+58:£\£cWL ?j B >;vA¥d4 ? h+58: cId}c&Kih Q%d¢iec 1Q%d¢ieqc > ¨4¤> aVK\$QRK hWhe+d Y}\ 4R8Q%c>\$Q%ḧ ; * Q¦L#Q¦:gh8vcFKh^c&KhQ8eqh ¨G;-8DudYMhA¥d4 tjr\ge6vdYM/hc>d (¨4>dYMn\$]hc&K8 c ¨ 1 ¨ 1 ¨ I8 c&Kie \ ( G Q8!Duh-4Ih:8¢Q%h1DEL \ghQ%hSaH\ge>hw/hSdEhSe>\QN8fcFKie aH\£c&K j e>hw;*vhscIeIaVK\$QRKS8;O/h e cFK\le e/8¢Q%h`Kdvd/c>dEL[h¢5i\MY8:ghsc#c>d8 eq\S:g\Q\8:Q%dS:ghQdA]\vhie>\gd¢j! > ( ;A¥d¢48.e>h%c dA ¤£ QdscF8/\\wT8 84>\£c&Kvhc>\$QS4>d¢w4IhSeIeq\gd > e>hh£¤ :£\ I¤ Ë5:¡VI+J£ J;=&,K\le c&4I\Ms\$8::L\S:g\£h e c&K 8fc B >=D;,j:gh8ie!cId c&Kih\]hQdAC8 w/hSd#]hSe>\Q\ge64>d¢5wK:Lr4>d¢ud¢4qcI\£d¢8:ic>d\ cet:ghw/c&KQ%d¢Q¦:5ie>\£d¢ /B >; C ?= &,K\letQd5:$SK8 M/h DuhSh 5ie>h¦Ah4I\gdKd¢rd/c>d¢+L!4>h ecF4>\$Q~cI\£d¢ieV4IhMhsc>\w ¨ AQ#8S:£hIdh S8 L hQ#WhQ%c^c&K 8fcIA¥d4^hM/h4&Ls\£c>h > d4:gdEQ8::L s\£c>h ;Q%d¢hQ%c>ḧ s\£c>h>*B]\vhie>\gd8: Wd:L+Kih#4Id " Ic&Kih4Ih