Ellipsoids and hyperboloids with infinite foci

Hans-Christoph Im Hof

Compositio Mathematica (1984)

  • Volume: 52, Issue: 2, page 231-244
  • ISSN: 0010-437X

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Im Hof, Hans-Christoph. "Ellipsoids and hyperboloids with infinite foci." Compositio Mathematica 52.2 (1984): 231-244. <http://eudml.org/doc/89663>.

@article{ImHof1984,
author = {Im Hof, Hans-Christoph},
journal = {Compositio Mathematica},
keywords = {hyperbolic geometry; distance function; non-positive sectional curvature; confocal ellipsoids},
language = {eng},
number = {2},
pages = {231-244},
publisher = {Martinus Nijhoff Publishers},
title = {Ellipsoids and hyperboloids with infinite foci},
url = {http://eudml.org/doc/89663},
volume = {52},
year = {1984},
}

TY - JOUR
AU - Im Hof, Hans-Christoph
TI - Ellipsoids and hyperboloids with infinite foci
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 2
SP - 231
EP - 244
LA - eng
KW - hyperbolic geometry; distance function; non-positive sectional curvature; confocal ellipsoids
UR - http://eudml.org/doc/89663
ER -

References

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  1. [1] P. Eberlein: Geodesic flows on negatively curved manifolds. II. Trans. Amer. Math. Soc.178 (1973) 57-82. Zbl0264.53027MR314084
  2. [2] P. Eberlein and B. O'Neill: Visibility manifolds. Pacific J. Math.46 (1973) 45-109. Zbl0264.53026MR336648
  3. [3] D. Gromoll, W. Klingenberg and W. Meyer: Riemannsche Geometrie im Grossen. Lecture Notes in Mathematics55. Berlin, Heidelberg, New York, 1968. Zbl0155.30701
  4. [4] E. Heintze and H.C. Im Hof: Geometry of horospheres. J. Differential Geometry12 (1977) 481-491. Zbl0434.53038MR512919
  5. [5] H.C. Im Hof: The family of horospheres through two points. Math. Ann.240 (1979) 1-11. Zbl0379.53020MR523996

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