connection

In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms.
Historically, connection forms were introduced by Élie Cartan in the first half of the 20th century as part of, and one of the principal motivations for, his method of moving frames. The connection form generally depends on a choice of a coordinate frame, and so is not a tensorial object. Various generalizations and reinterpretations of the connection form were formulated subsequent to Cartan's initial work. In particular, on a principal bundle, a principal connection is a natural reinterpretation of the connection form as a tensorial object. On the other hand, the connection form has the advantage that it is a differential form defined on the differentiable manifold, rather than on an abstract principal bundle over it. Hence, despite their lack of tensoriality, connection forms continue to be used because of the relative ease of performing calculations with them. In physics, connection forms are also used broadly in the context of gauge theory, through the gauge covariant derivative.
A connection form associates to each basis of a vector bundle a matrix of differential forms. The connection form is not tensorial because under a change of basis, the connection form transforms in a manner that involves the exterior derivative of the transition functions, in much the same way as the Christoffel symbols for the Levi-Civita connection. The main tensorial invariant of a connection form is its curvature form. In the presence of a solder form identifying the vector bundle with the tangent bundle, there is an additional invariant: the torsion form. In many cases, connection forms are considered on vector bundles with additional structure: that of a fiber bundle with a structure group.

View More On Wikipedia.org
Recent contents
  1. G

    Umewahi kupata connection ya Ajira , Biashara, n.k. kimasihara ? aliekupa hakuhitaji chochote, mtu ambae hukumtegemea, n.k.

    katika maisha ya sasa connection ni kitu muhimu sana, lakini zimekuwa ngumu sana kupatikana ni hadi utoe kitu kidogo, uwe chawa, n.k. Je umewahi kupata connection kimasihara iwe kwa mtu ambae hukumtegemea au Bila kuombwa chochote au mazingira usiyotegemea, n.k. Nimewahi kumjua Mhitimu wa...
  2. L

    Anaomba connection ya ajira

    Salaam wakuu. Kuna jamaa ni mtaalamu wa mitambo ya viwandani anaomba kupata sehemu ya kupiga kazi. Anauzoefu wakutosha kwani alishafanya kwa muda mrefu kwenye moja kati ya viwanda vikubwa vya sukari hapa nchini. Mwingine ni mdogo wangu wakike.Ana Bachelor of art in geography and environment...
  3. N

    Wakuu naomba Connection ya Kinglion Kibaha

    Habari wakuu? Ndugu zangu mimi naishi Misugusugu Kibaha, hivi karibuni nimeanza kuona dalili za ukame kwenye kampuni ninayofanya kazi, jana nikaona niombe ruhusa kazini ili niingie zangu mtaani kucheki mazingira. Nyumba ninayoishi kuna vijana wanafanya mishe za ujenzi viwandani, kwenye stori...

  4. Natafuta wazalishaji wa chupa hizi za plastik,Anayejua naomba connection

    Habari wakuu. Natafuta chupa za plastik hizi za kijani kubwa na ndogo,naomba maelekezo ya kiwanda maana nahitaji kwa wingi na biashara endelevu. Piga 0713 039 875

  5. Naombeni Connection ya kazi

    Habari zenu humu, naombeni mnisaidie connection ya kazi Nina degree ya mechanical engineering, nimetoka mkoani nimekuja dar kutafuta kazi, Nina familia ,imebidi niiache nije kupambana huku, nakosa hata nauli Msaada wenu Wana jf ,kazi yoyote halali , Storekeeper,warehouse, Service Engineer,n.k...

  6. Nipo Morogoro, natafuta connection ya sehemu ya kujitolea

    Jamani habari, Nipo morogoro naombeni connection ya sehemu ya kujitolea. (Volunteerism au internship) Ila pia hata kazi yoyote ya Stationary au saloon. ( Najua mambo ya graphics design na computer, ila sio expert) Nina degree ya International Relations and Diplomacy. Asanteni. What'sapp...

  7. Naomba mwenye kujua mahali naweza pata nafasi Quality assurance officer

    Habari wana JF katika jukwaa letu hili pendwa, Nina shahada ya sayansi katika kemia UDOM. Sijabahatika kupata kazi serikalini kama mnavojua ugumu ulivo lakini nimefanya kazi katika kitengo cha ubora ( Asst lab tech na Quality supervisor) katika kiwanda cha kuchakata samaki ambapo kimsingi...

  8. Naombeni connection ya kazi ya kupush hashtag

    Wakuu habari zenu Kama Title inavyojieleza naombeni mwenye connection ya kazi ya kupush hashtag au kusukuma reli anisaidie Hali ni ngumu sana tunapigana but nothing kwahiyo kama una connection na hiko kitu hapo juu nisaidie PM iko wazi Elimu kidato cha 6 Now niko chuo Nina akaunti...

  9. Mbunge Mageni: Ajira za 'Connection' zinasababisha mifumo ya Wizi Serikalini, ataka Wakurugenzi, Katibu Tawala wapimwe kwa sifa sio kujaza nafasi

    Mbunge wa Sumve (CCM), Kasalali Mageni, ameelezea wasiwasi wake kuhusu mchakato wa ajira serikalini unaotegemea ‘connection’, akidai kuwa mfumo huu unazalisha watumishi wasiokuwa na sifa zinazostahiki, hivyo kusababisha hasara kwa serikali. "Wengi wanaamini ajira bila connection haipatikani...
    • Waufukweni
    • Thread
    • ajira connection mbunge mifumo serikalini wizi wizi serikalini
    • Replies: 24
    • Forum: Jukwaa la Siasa

  10. Naomba kazi au connection na kazi

    Habarini wakuu, Naitwa Richard Mashauri Nimesoma degree ya uhasibu na teknolojia, nimejitahidi pambana kitaa na kazi mbalimbali ikiwemo ufreelancer azam pesa pamoja na kusupply mitungi ya gesi ila imetokea changamoto kwa sasa kwenye kazi yangu ya kusupply gas za kupikia, kama kuna mtu...

  11. Ajira za jeshi Middle East haziitaji connection

    Kutokana na hali halisi uko mashariki ya kati, Palestine, Israel, iran, Lebanon n.k. Ukitamani kua mwanajeshi uko unaonekana mzalendo na milango ipo wazi kutokana na huwalisia wa kuepo na matukio kila kukicha, unapokelewa kama mfalme ukitaka kujiunga na majeshi uko kama raia wa taifa lao...
  12. H

    Naombeni connection ya kazi

    Habar Wana jukwaa, Ni kijana wa miaka 27 nipo Dar essalaam Tegeta A natafuta Kazi ndugu zangu tusaidiane kwa wenye connection jamani, Elimu yangu ni kidato Cha 6 japo nilifika chuo ila sikuhitimu kutokana na changamoto za kiuchumi, naweza kufanya Kazi za stationary yaani printing scanning...

  13. Natafuta connection ya kazi stendi ya Kahama

    Wakuu nipo kahama natafuta kazi ya kupiga debe kamahama stendi Yeyote mwenye connection na magari nipo tayari kufanya kazi na campun yeyote nipo vizuri katika kushawishi na kuongea Msaada wana jamiiforums
  14. K

    Napendaa mambo ya modeling sana na natamani nifike mbali lakini bado sijapata connection nzuri ili niweze kutimiza ndoto zangu

    Hello naitwa Jenipha napenda sana mambo ya modeling lakini Bado sijapata connection au njia rasmi ya kuweza kutimiza ndoto zangu nahitaji msaada wenu. 0713776534

  15. Mwenye connection ya kazi ya Storekeeper au kazi yoyote na popote anisaidie

    Habari wakuu! Nina ujuzi wa maswala ya store / Warehouse. Niliwahi kuwa stock controller kwenye deport Fulani ya kuuza vinywaji Kwa zaidi ya miaka mitatu. Nilikuwa na deal na operation za pale deport, pia mahesabu ya bidhaa zinazoingia na zinazotoka na kuangalia stock kama ipo kwenye uwiano...
  16. N

    Msaada wa Connection ya kibarua chochote

    Heshima kwenu wakubwa kwa wadogo Nimekuja mbele yenu kuomba msaada wa kibarua chochote ili niweze kuisadia familia yangu nikiwa na maana ya mke na watoto pamoja na mzazi wangu ambae ni mjane. Elimu yangu ni form 6 ila pia najua kutumia computer. Hata kama ni kibarua cha kulipwa kwa siku nipo...

  17. Aliyeninyima Connection jana kaja kuniomba msaada

    Maisha ni sanaa na kuishi ni maigizo tu. Dunia hii tunapita nyie mlioko maofisini kama mnaweza saidieni watu wanaoomba Msaada kwenu.Ilikuwa hivi jamaa nilikutana nae miaka mitatu nyuma mwaka 2022, ofisini kwa DC kwa yule Dada ambaye sasa hivi ni Don kule kwenye Chama cha kijani kibichi upande wa...
  18. S

    Special thread kwa ajili ya wakemia waliopo kazini ,wanaosoma na wanaotafuta kazi tupeane connection

    Uzi maalum wa wakemia karibuni
  19. S

    Chemists, Quality Control Chemist, Lab Technician Chemists who are on job and who are looking for job, welcome for connection

    Uzi maalum wa Wakemia wasionaajira, wanaotafuta kazi na waajira hata wanafunzi wakemia karibuni tupeane connection.

  20. Msaada: Naomba kujua bei ya tiles za jumla au connection ya kiwandani

    Habari ya muda huu wadau. Nipo stage ya kuweka tiles, sasa hizi hesabu zinanipa headache. 40×40 - box 65 25×40- box 45 Skirting - box 7 Tiles za tangastone- box 18 Naomba msaada wa kupata namba/connection ya kiwanda cha tile twyford pale chalinze. Au, Kujua wholesale price ya tiles za...
Menu
Log in
Register
Cookies are required to use this site. You must accept them to continue using the site. Learn more…