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Clifford structures on manifolds. (English. Russian original) Zbl 0930.53030

J. Math. Sci., New York 89, No. 3, 1311-1333 (1998); translation from Itogi Nauki Tekh., Ser. Sovrem Mat. Prilozh., Temat. Obz. 30, 220-257 (1996).
This survey paper offers a valuable review of Clifford structures with numerous applications to mathematical physics and differential geometry. In addition, it contains eight theorems (which are probably not entirely new, and derived from the author’s previous publications), which are interesting for their generality. Contents include: an introduction; Clifford differential algebras; Clifford connections; and a bibliography of fifty items.

MSC:

53C27 Spin and Spin\({}^c\) geometry
15A66 Clifford algebras, spinors
57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
53-02 Research exposition (monographs, survey articles) pertaining to differential geometry
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References:

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