References

1

H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, World Scientific, Singapore 1995, Second extended edition, pp. 1-850. (http://www.physik.fu-berlin.de/~kleinert/kleiner_re.html#b5).

2

B.S. DeWitt, Rev. Mod. Phys. 29, 337 (1957).

3

For older treatments see the review
M.S. Marinov, Phys. Rep. 60, 1 (1980).
For a more recent and detailed discussion of the problem see Chapters 10 and 11 in the textbook [1].

4

See Chapter 12 in [1].

5

K. Fujikawa, Prog.Theor.Phys. 96 (1996) 863-868 (hep-th/9609029); (hep-th/9608052); (hep-th/9608052).

6

See the discussion in [5] and Chapter 19 of the textbook [1].

7

B.S.DeWitt, Rev. Mod. Phys. 29, 337 (1957).

8

K.S. Cheng, J. Math. Phys. 13, 1723 (1972).

9

H. Kleinert, Nonholonomic Mapping Principle for Classical and Quantum Mechanics in Spaces with Curvature and Torsion, FU-Berlin preprint 1997 (http://www.physik.fu-berlin.de/~kleinert/kleiner_re3#258), (APS eprint aps1997sep03_002), and Act. Phys. Pol. B 29, 1033 (1998) (gr-qc/9801003)