Conformal differential geometry of a subspace
HTML articles powered by AMS MathViewer
- by Aaron Fialkow
- Trans. Amer. Math. Soc. 56 (1944), 309-433
- DOI: https://doi.org/10.1090/S0002-9947-1944-0011023-9
- PDF | Request permission
Erratum: Trans. Amer. Math. Soc. 56 (1944), 570.
References
- L. Bianchi, Lezioni di Geometrie Differenziale, 2nd ed., vol. 1, 1902.
W. Blaschke and G. Thomsen, Vorlesungen ĂĽber Differentialgeometrie, vol. 3, 1929.
A. Duschek and W. Mayer, Lehrbuch der Differentialgeometrie, vol. 2, 1930.
L. P. Eisenhart, Riemannian geometry, 1926.
—, Non-Riemannian geometry, Amer. Math. Soc. Colloquium Publications, vol. 8, 1927.
- Aaron Fialkow, Conformal geodesics, Trans. Amer. Math. Soc. 45 (1939), no. 3, 443–473. MR 1501998, DOI 10.1090/S0002-9947-1939-1501998-9
- Aaron Fialkow, The conformal theory of curves, Proc. Nat. Acad. Sci. U.S.A. 26 (1940), 437–439. MR 2254, DOI 10.1073/pnas.26.6.437
- Aaron Fialkow, The conformal theory of curves, Trans. Amer. Math. Soc. 51 (1942), 435–501. MR 6465, DOI 10.1090/S0002-9947-1942-0006465-X
- Sophus Lie, Ueber Complexe, insbesondere Linien- und Kugel-Complexe, mit Anwendung auf die Theorie partieller Differential-Gleichungen, Math. Ann. 5 (1872), no. 1, 145–208 (German). MR 1509773, DOI 10.1007/BF01446331
- Walther Mayer, Die Differentialgeometrie der Untermannigfaltigkeiten des $\textbf {R}_n$ konstanter Krümmung, Trans. Amer. Math. Soc. 38 (1935), no. 2, 267–309 (German). MR 1501812, DOI 10.1090/S0002-9947-1935-1501812-8
- W. Mayer and T. Y. Thomas, Vollständig integrable Systeme totaler Differentialgleichungen, Math. Z. 40 (1936), no. 1, 658–661 (German). MR 1545589, DOI 10.1007/BF01218887
- J. A. Schouten, Über die konforme Abbildung $n$-dimensionaler Mannigfaltigkeiten mit quadratischer Maßbestimmung auf eine Mannigfaltigkeit mit euklidischer Maßbestimmung, Math. Z. 11 (1921), no. 1-2, 58–88 (German). MR 1544484, DOI 10.1007/BF01203193 J. A. Schouten and D. J. Struik, Einführung in die neueren Methoden der Differential-geometrie, vol. 2, 1938. T. Takasu, Differentialgeometrien in den Kugelräumen, vol. 1, 1938. T. Y. Thomas, The differential invariants of generalized spaces, 1934. —, Recent trends in geometry, Amer. Math. Soc. Semicentennial Publications, vol. 2 (1938) pp. 98-135.
- Hermann Weyl, Reine Infinitesimalgeometrie, Math. Z. 2 (1918), no. 3-4, 384–411 (German). MR 1544327, DOI 10.1007/BF01199420
- Hassler Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36 (1934), no. 1, 63–89. MR 1501735, DOI 10.1090/S0002-9947-1934-1501735-3
Bibliographic Information
- © Copyright 1944 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 56 (1944), 309-433
- MSC: Primary 53.0X
- DOI: https://doi.org/10.1090/S0002-9947-1944-0011023-9
- MathSciNet review: 0011023