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@book{1380834, author = {Kolář, Ivan}, address = {Brno}, edition = {1.}, howpublished = {tištěná verze "print"}, language = {eng}, location = {Brno}, isbn = {978-80-210-8385-1}, publisher = {Masarykova univerzita}, title = {Covariant Approach to Weil Bundles}, year = {2016} }
TY - BOOK ID - 1380834 AU - Kolář, Ivan PY - 2016 TI - Covariant Approach to Weil Bundles PB - Masarykova univerzita CY - Brno SN - 9788021083851 N2 - In the original definition by A. Weil, an infinitely near point on a smooth manifold M is introduced as a homomorphisms of the algebra of smooth functions C^\infty on M into a local (=Weil) algebra A. This point of view is close to algebraic geometry. On the other hand, there is the idea of (k; r)-velocity based on the concept of jet by C. Ehresmann, that seems to be more appropriate for differential geometry. The author introduces an original concept of A-velocity, that unifies both points of view. Beside the geometry of Weil bundles, some further jet-like functors are studied. The last Chapter 8 is devoted to nonholonomic jets, non-holonomic contact elemets and their applications to the submanifolds of Cartan spaces. ER -
KOLÁŘ, Ivan. \textit{Covariant Approach to Weil Bundles}. 1st ed. Brno: Masarykova univerzita, 2016, 106 pp. ISBN~978-80-210-8385-1.
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