Examples of sectional curvature with prescribed symmetry on 3 -manifolds

Luis A. Cordero; Phillip E. Parker

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 1, page 7-20
  • ISSN: 0011-4642

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Cordero, Luis A., and Parker, Phillip E.. "Examples of sectional curvature with prescribed symmetry on $3$-manifolds." Czechoslovak Mathematical Journal 45.1 (1995): 7-20. <http://eudml.org/doc/31459>.

@article{Cordero1995,
author = {Cordero, Luis A., Parker, Phillip E.},
journal = {Czechoslovak Mathematical Journal},
keywords = {naturally reductive homogeneous spaces; sectional curvature symmetry; warped products; symmetry groups},
language = {eng},
number = {1},
pages = {7-20},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Examples of sectional curvature with prescribed symmetry on $3$-manifolds},
url = {http://eudml.org/doc/31459},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Cordero, Luis A.
AU - Parker, Phillip E.
TI - Examples of sectional curvature with prescribed symmetry on $3$-manifolds
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 1
SP - 7
EP - 20
LA - eng
KW - naturally reductive homogeneous spaces; sectional curvature symmetry; warped products; symmetry groups
UR - http://eudml.org/doc/31459
ER -

References

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  2. Clairaut submersions, Differential Geometry, in Honor of K. Yano, S.  Kobayashi et al. (eds.), Tokyo, Kinokuniya, 1972, pp. 21–31. (1972) Zbl0246.53048MR0334078
  3. 10.1007/BF02566352, Comment. Math. Helv. 59 (1984), 319–331. (1984) MR0749111DOI10.1007/BF02566352
  4. Theory of Ordinary Differential Equations, New York, McGraw-Hill, 1955. (1955) MR0069338
  5. Symmetries of sectional curvature on 3-manifolds, (to appear). (to appear) MR1362194
  6. Left-invariant Lorentzian metrics on 3-dimensional Lie groups, to appear. (to appear) MR1459412
  7. 10.1512/iumj.1988.37.37020, Indiana U. Math. J. 37 (1988), 389–408. (1988) MR0963509DOI10.1512/iumj.1988.37.37020
  8. The Large Scale Structure of Space-time, Cambridge, U.P., 1973. (1973) MR0424186
  9. Semi-riemannian Geometry, New York, Academic Press, 1983. (1983) MR0719023
  10. Spaces of Constant Curvature, ed. Boston, Publish or Perish, 1984. (1984) Zbl0556.53033MR0928600

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