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.

&§& ] c )§)ac ¡_X &BD&,£-+2a?¨&§ ]91 _ X (i/)K § ] 1 _gc + - ')= ] c) )>c a_OGF=^&.'x4$=>/?;K}254ä&[(i6 X &32>G$G\2(i6§%c ¦ K$&E2568=>BD&*¤&4¡/D(i=a4$&.GI,$BD(i4}?¨(+,$-i&')A¨ ¨>&.'0/D'¦/)K£25/ , ¢¡ ')K$=>A$- G¤H%&?¨=a4£'0/D254¡/¦/D=4 K$&4 lg)/)K£(+'O(+'E4$=5/MB)&925-+-iJk/)BDA$& X &[?2>4A£')&BD&-+&C-@/DK$&=aB)&.*o=>6v?2>-+?A$-iA}'e/)=')2rJ/)K£25/] c) )>c a_¨c4 K$&.4 )e/DK$( 'v( 'f4$=[-i=a4¨>&.B¦/)BDA$& W /DK$(+'v(+'v/)K£&=56§¤(+'1?¨=a4a/DB)=a-i-+&.GIH^J&-+- ] 5^4$= X 4p6 25(+-iA$BD&`=>6 /DK$& b =>H%=>-+&Ck&.*[H%&.G$G$(i4¨p2-@&HLF,%=>4$&.4¡/.c 4Z&X¢ X /)K£25/ §x-+(i&9'Y(+4/DK$&ƒ'),£2a?¨& =56£/)K$&ƒ,$BD&.?¨&9GF(+4Ö')&.?¨/)(+=>4 X K$&.4 ¥ § ( £ ) ] '_1(+4')K$=¦ K$&.B)&x25BD&M*I=aB)&MBD&#£4$&9GqCa&B;'0(+=>4£'1=56Y/)K$&9'0&xBD&.')A$-i/D' W/)K£&x')&4}'0&M=56GF(+'0/)BD(+H$AF/)(+=>4}'c68=>BeA£4¡H%=>A£4£GF&.G68A$4}?g/)(+=>4}'c/)K$&'D265a&M=>6 ?=>*¤,£25BD( '0=a4 W B)&9?25-+-s/)K£& b =>H%=>-+&Cq(+4$&¡¥aA}25-+(7/D(i&9'$=aB¢ ££¢ ££¤] c )§)ac Qa_K$&.B)& )¦¥ l )7 " ) 2>4£G ) y 7 ¥ ¦c $=aBq/)K£(+' X &\4$&&9G /)=h2>G$G 2>4X§ W /)K£25/(i/K£2a'k?=>*¤,£2>?¨/')A$,$,%=>B)/k68=>B(i4}':/;254£?& W H$AF/p/)K£&2>'D')A$*¤,F/)(+=>42>H}=aAF/&K£2rC>&§¥NV ¥ W H£AF/ X K$&.4 )e/DK$&E&9':/D(i*32&4£&B;24}'12>B)&e4$=>/1H%=>A$4}GF&.G X K£&43=>4£&©†/v(=>A$- G -i( 5>&k/)K$&.*b/)= H%& W H£AF/[/DK£24 c 2>B)&O4$=5/ƒH}=aA$4£GF&9G3=>4 £ / H$AF/eGF=*¤2>,=>,%&B;2B;'f2>'1*¤&4¡/)(+=>4£&.G3(+4/ (+4a/D= , ¢¡ W 254£Gp&Ca&4 , ¢¡ (+4a/D=3(7/;'0&.-76¦A$4}GF&BE')A$(i/D2>H$-i&`?=>4£G$(7/D(i=a4£'c ] b &.&£¨ 25BD4!W W T ¡ =>A$BW W T b /D&(+4!W ¥ c _TX ?¨-+=a')&I2>B)& , ¢¡ 68A$4}?g/)(+=>4}'x/)=H%&(+4¨H}=aA$4£GF&9G ¢ + 6 2>*I=aA£'M/)K£&=>BD&*¢=¡ =aK$4 2>4£G ( (+B)&.4¡H%&B ¨ ] '0&.& T ¨ 2>B)4!W W T ¡ =>A$BW W T b /D&(+4!W ¥ _I'D2rJ^'[/)K}2BM25-+-M7 ¥¥c%© 46 2a?g/M=>4$&[?.254 GF&/£4$& , ¢¡ (+468A$4£?¨/)(+=>4=>6Y254 £ ¦ 4$=aB)* (+4/)K$&x*¤&.2>4=¡')?(i-+-+25/)(+=>4q*¤= ]%1 5_ƒ68B)=a* ] c c )9_ƒ254£G ¨>&//)&.B)*3'¨ 9I¦9B9¡ ! ¢ " £¡ ¤£¦% ¢-¢e¦ "¢3¢-¦¢ ¤£$9¤ § H£')&BDC>&O/)K£25/,$BD(i=aB)(s&9':/D(i*324£Gp(i4 }*[A$*GF=¤K£2rCa&M(+4p/)K$( 'e?2a'0&M/DK£24£G¤=>4$&?.254q2>-+')==>(+4£?.25BH$AF/f=a4$&?2>4$4$=>/ ä&¨/f2 X 2rJx68B)=a*/)K£& 6 2>?g/¦/DK£24£GI'0( GF&?2>4H%& £4£(7/D&w § ]91 _ w ¢ 1y:.¤] 7¥ @_w ¥ § ]91 _ w ¦ 1H%=>A$4£GIGF=^&.'4£=5/fGF&,%&4}G[=a4[/DK$(+'¦2a')')A$*¤,F/D(i=a4(+4I2 ¥¡A£254¡/D(7/;2& X 2rJ>c + '7 V

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

Saved successfully!

Ooh no, something went wrong!