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Keywords:
natural operator; linear connection; torsion; reduction theorem; graph
Summary:

References:
[1] Janyška, J.: Reduction theorems for general linear connections. Differential Geom. Appl. 20 (2004), 177. MR 2038554 | Zbl 1108.53016
[2] Janyška, J., Markl, M.: Combinatorial differential geometry and ideal Bianchi–Ricci identities. Adv. Geom. 11 (3) (2011), 509–540. MR 2817591 | Zbl 1220.53019
[3] Kolář, I., Michor, P. W., Slovák, J.: Natural operations in differential geometry. Springer–Verlag, Berlin, 1993. MR 1202431 | Zbl 0782.53013
[4] Krupka, D., Janyška, J.: Lectures on differential invariants. Folia Fac. Sci. Nat. Univ. Purkynianae Brun. Math., 1990. MR 1108622 | Zbl 0752.53004
[5] Łubczonok, G.: On reduction theorems. Ann. Polon. Math. 26 (1972), 125–133. MR 0307078
[6] Mac Lane, S.: Homology. Springer–Verlag, 1963.
[7] Markl, M.: Homotopy algebras are homotopy algebras. Forum Math. 16 (2004), 129–160. MR 2034546 | Zbl 1067.55011
[8] Markl, M.: ${GL_n}$–invariant tensors and graphs. Arch. Math. (Brno) 44 (2008), 339–353. MR 2501578 | Zbl 1212.15051
[9] Markl, M.: Natural differential operators and graph complexes. Differential Geom. Appl. 27 (2009), 257–278. MR 2503978 | Zbl 1165.51005
[10] Markl, M., Shnider, S., Stasheff, J. D.: Operads in Algebra, Topology and Physics. Mathematical Surveys and Monographs, vol. 96, Amer. Math. Soc., 2002. MR 1898414 | Zbl 1017.18001
[11] Markl, M., Voronov, A. A.: PROPped up graph cohomology. Algebra, arithmetic, and geometry: In honor of Yu. I. Manin, vol. II, Birkhäuser Boston, Inc., Boston, MA, progr. math., 270 ed., 2009, pp. 249–281. MR 2641192 | Zbl 1208.18008
[12] Nijenhuis, A.: Theory of the geometric object. Thesis, University of Amsterdam (1952). MR 0050364 | Zbl 0049.22903
[13] Nijenhuis, A.: Natural bundles and their general properties. Geometric objects revisited. Differential geometry (in honor of Kentaro Yano), Kinokuniya, Tokyo, 1972, pp. 317–334. MR 0380862 | Zbl 0246.53018
[14] S. Kobayashi, K. Nomizu: Foundations of Differential Geometry. Interscience Publishers, 1963. MR 0152974
[15] Schouten, J. A.: Ricci calculus. Berlin–Göttingen, 1954. Zbl 0057.37803
[16] Terng, C. L.: Natural vector bundles and natural differential operators. Amer. J. Math. 100 (1978), 775–828. MR 0509074 | Zbl 0422.58001
[17] Veblen, O.: Invariants of quadratic differential forms. Cambridge Tracts in Mathematics and Mathematical Physics, no. 24, 1927.
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