Ambrose Singer Theorem I wish to learn about holonomy groups of Riemannian manifolds and the Ambrose- Singer theorem. Please advise some references other than the original paper of Ambrose and Singer.
 A: References as follows
HLAVATÝ, VÁCLAV. “The Holonomy Group I. The Curvature Tensor.” Journal of Mathematics and Mechanics, vol. 8, no. 2, 1959, pp. 285–307. JSTOR, http://www.jstor.org/stable/24900561 . Accessed 22 Aug. 2022.
The above is the first of six papers on ‘The Holonomy Group’, by V.Hlavaty, that are all available on JSTOR. Individuals may be able to sign up for a free account with JSTOR.
I suggest starting with a first brief look at pg. 12 of the second paper of the six, see (4.1).
HLAVATÝ, V. “The Holonomy Group II. The Lie Group Induced by a Tensor.” Journal of Mathematics and Mechanics, vol. 8, no. 4, 1959, pp. 597–622. JSTOR, http://www.jstor.org/stable/24900677. Accessed 22 Aug. 2022.
HLAVATÝ, VÁCLAV. “The Holonomy Group III. Metrisable Spaces.” Journal of Mathematics and Mechanics, vol. 9, no. 1, 1960, pp. 89–122. JSTOR, http://www.jstor.org/stable/24900513. Accessed 22 Aug. 2022.
HLAVATÝ, VÁCLAV. “The Holonomy Group IV. The General Ln with Symmetric Connection.” Journal of Mathematics and Mechanics, vol. 9, no. 3, 1960, pp. 453–96. JSTOR, http://www.jstor.org/stable/24900484. Accessed 22 Aug. 2022.
HLAVATÝ, VÁCLAV. “The Holonomy Group V. Weyl Space W          4          , First Part.” Journal of Mathematics and Mechanics, vol. 10, no. 2, 1961, pp. 317–48. JSTOR, http://www.jstor.org/stable/24900828. Accessed 22 Aug. 2022.
HLAVATÝ, V. “The Holonomy Group VI. Weyl Space W          4          , Second Part.” Journal of Mathematics and Mechanics, vol. 11, no. 1, 1962, pp. 35–59. JSTOR, http://www.jstor.org/stable/24900845. Accessed 22 Aug. 2022.
