@article {MR2275866, title = {Computability results used in differential geometry}, journal = {J. Symbolic Logic}, volume = {71}, number = {4}, year = {2006}, pages = {1394{\textendash}1410}, issn = {0022-4812}, doi = {10.2178/jsl/1164060462}, url = {https://doi.org/10.2178/jsl/1164060462}, author = {Csima, Barbara F. and Soare, Robert I.} }