Splitting theorems of riemannian manifolds

Nobuhiro Innami

Compositio Mathematica (1982)

  • Volume: 47, Issue: 3, page 237-247
  • ISSN: 0010-437X

How to cite

top

Innami, Nobuhiro. "Splitting theorems of riemannian manifolds." Compositio Mathematica 47.3 (1982): 237-247. <http://eudml.org/doc/89573>.

@article{Innami1982,
author = {Innami, Nobuhiro},
journal = {Compositio Mathematica},
keywords = {complete Riemannian manifold; affine function; splitting of a Riemannian manifold; geodesic},
language = {eng},
number = {3},
pages = {237-247},
publisher = {Martinus Nijhoff Publishers},
title = {Splitting theorems of riemannian manifolds},
url = {http://eudml.org/doc/89573},
volume = {47},
year = {1982},
}

TY - JOUR
AU - Innami, Nobuhiro
TI - Splitting theorems of riemannian manifolds
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 3
SP - 237
EP - 247
LA - eng
KW - complete Riemannian manifold; affine function; splitting of a Riemannian manifold; geodesic
UR - http://eudml.org/doc/89573
ER -

References

top
  1. [1] H. Busemann: The geometry of geodesics. Academic Press, New York, 1955. Zbl0112.37002MR75623
  2. [2] H. Busemann and B.B. Phadke: Peakless and monotone functions on G-spaces (to appear). Zbl0526.53064MR703671
  3. [3] J. Cheeger and D.G. Ebin: Comparison theorems in Riemannian geometry. North Holland, Amer. Elsevier, 1975. Zbl0309.53035MR458335
  4. [4] J. Cheeger and D. Gromoll: The splitting theorem for manifolds of nonnegative Ricci curvature, J. Differential Geometry6 (1971) 119-129. Zbl0223.53033MR303460
  5. [5] J. Cheeger and D. Gromoll: On the structure of complete manifolds of nonnegative curvature, Ann. of Math.96 (1972) 415-443. Zbl0246.53049MR309010
  6. [6] P. Eberlein and B. O'Neill: Visibility manifolds, Pac. J. Math.46 (1973) 45-109. Zbl0264.53026MR336648
  7. [7] R.E. Greene and K. Shiohama: Convex functions on complete noncompact manifolds : Topological structure, Inventiones Math.63 (1981) 129-157. Zbl0468.53033MR608531
  8. [8] R.E. Greene and K. Shiohama: Convex functions on complete noncompact manifolds : Differentiable structure (to appear). Zbl0488.57012MR654202
  9. [9] D. Gromoll, W. Klingenberg and W. Meyer: Riemannsche Geometrie im Grossen, Springer, Berlin-Heidelberg-New York, 1968. Zbl0155.30701MR365399
  10. [10] V.A. Toponogov: Spaces with straight lines, Amer. Math. Soc. Transl.37 (1964) 278-280. 
  11. [11] H. Wu: An elementary method in the study of nonnegative curvature, Acta Math.142 (1959) 57-78. Zbl0403.53022MR512212
  12. [12] T. Yamaguchi: The isometry groups of Riemannian manifolds admitting strictly convex functions to appear in Ann. Sci. Ecole Norm. Sup. Zbl0501.53028MR672480

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.