Total curvature and the topology of complete surfaces

Victor Bangert

Compositio Mathematica (1980)

  • Volume: 41, Issue: 1, page 95-105
  • ISSN: 0010-437X

How to cite

top

Bangert, Victor. "Total curvature and the topology of complete surfaces." Compositio Mathematica 41.1 (1980): 95-105. <http://eudml.org/doc/89453>.

@article{Bangert1980,
author = {Bangert, Victor},
journal = {Compositio Mathematica},
keywords = {total curvature; topology of complete surfaces; Cohn-Vossen inequality},
language = {eng},
number = {1},
pages = {95-105},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Total curvature and the topology of complete surfaces},
url = {http://eudml.org/doc/89453},
volume = {41},
year = {1980},
}

TY - JOUR
AU - Bangert, Victor
TI - Total curvature and the topology of complete surfaces
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 1
SP - 95
EP - 105
LA - eng
KW - total curvature; topology of complete surfaces; Cohn-Vossen inequality
UR - http://eudml.org/doc/89453
ER -

References

top
  1. [1] D.D. Bleecker: The Gauss-Bonnet inequality and almost-geodesic loops. Advances in Math.14 (1974) 183-193. Zbl0289.53039MR353199
  2. [2] S. Cohn-Vossen: Kürzeste Wege und Totalkrümmung auf Flächen. Compositio Math.2 (1935) 69-133. Zbl0011.22501JFM61.0789.01
  3. [3] M.W. Hirsch: Differential Topology. Springer-Verlag, New York-Heidelberg-Berlin1976. Zbl0356.57001MR448362
  4. [4] A. Huber: On subharmonic functions and differential geometry in the large. Comment. Math. Helv.32 (1957) 13-72. Zbl0080.15001MR94452
  5. [5] W. Klingenberg: Lectures on closed geodesics. Grundlehren der mathematischen Wissenschaften Bd. 230, Springer-Verlag, Berlin- Heidelberg-New York1978. Zbl0397.58018MR478069
  6. [6] G. Thorbergsson: Closed geodesics on non-compact Riemannian manifolds. Math. Z.159 (1978) 249-258. Zbl0358.53027MR493872

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.