Geodesic
On An Affine Connection Which Admits A Volume-Like Form
Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 482-488

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A necessary and sufficient condition to obtain a volumelike form from an affine connection is given in terms of the Čech cohomology, after the volume-like form is naturally defined without a Riemannian metric. A necessary condition for an affine connection to be a Riemannian connection for some metric is also given.
DOI : 10.4153/CMB-1990-077-6
Mots-clés : 52C05 
Chi, D. P. On An Affine Connection Which Admits A Volume-Like Form. Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 482-488. doi: 10.4153/CMB-1990-077-6
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     title = {On {An} {Affine} {Connection} {Which} {Admits} {A} {Volume-Like} {Form}},
     journal = {Canadian mathematical bulletin},
     pages = {482--488},
     year = {1990},
     volume = {33},
     number = {4},
     doi = {10.4153/CMB-1990-077-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-077-6/}
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