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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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We find all FMm-natural operators A transforming torsion free classical linear connections ∇ on m-manifolds M into base preserving fibred maps A(∇) : J-r Y → JrY for FMm-objects Y with bases M, where J-r , Jr are the semiholonomic and holonomic jet functors of order r on the category FMm of fibred manifolds with m-dimensional bases and their fibred maps with embeddings as base maps.
목차
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참고문헌 (12)
참고문헌 신청
A. Vondra / 2000 / Higher-order differential equations represented by connections on prolonga-tions of a fibred manifold / Extracta Math 15 (3) : 421 ~ 512
C. Ehresmann / 1954 / Extension du calcul des jets aux jets non holonomes / C. R. Acad. Sci. Paris 239 : 1762 ~ 1764
D. J. Saunders / 1989 / The Geometry of Jet Bundles / London Math. Soc. Lecture Note Series 142
I. Kol´aˇr / 1993 / Natural Operations in Differential Geometry / Springer-Verlag
I. Kol´aˇr / 1999 / On the fiber product preserving bundle functors / Differen-tial Geom. Appl 11 (2) : 105 ~ 111
C. Ehresmann / 1954 / Extension du calcul des jets aux jets non holonomes / C. R. Acad. Sci. Paris 239 : 1762 ~ 1764
D. J. Saunders / 1989 / The Geometry of Jet Bundles / London Math. Soc. Lecture Note Series 142
I. Kol´aˇr / 1993 / Natural Operations in Differential Geometry / Springer-Verlag
I. Kol´aˇr / 1999 / On the fiber product preserving bundle functors / Differen-tial Geom. Appl 11 (2) : 105 ~ 111
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