On closed 4-manifolds admitting a Morse function with 4 critical points

Wenxue Huang

Czechoslovak Mathematical Journal (1996)

  • Volume: 46, Issue: 1, page 47-59
  • ISSN: 0011-4642

How to cite

top

Huang, Wenxue. "On closed 4-manifolds admitting a Morse function with 4 critical points." Czechoslovak Mathematical Journal 46.1 (1996): 47-59. <http://eudml.org/doc/30287>.

@article{Huang1996,
author = {Huang, Wenxue},
journal = {Czechoslovak Mathematical Journal},
keywords = {Morse function; critical point; 4-manifold; Euler characteristic},
language = {eng},
number = {1},
pages = {47-59},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On closed 4-manifolds admitting a Morse function with 4 critical points},
url = {http://eudml.org/doc/30287},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Huang, Wenxue
TI - On closed 4-manifolds admitting a Morse function with 4 critical points
JO - Czechoslovak Mathematical Journal
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 1
SP - 47
EP - 59
LA - eng
KW - Morse function; critical point; 4-manifold; Euler characteristic
UR - http://eudml.org/doc/30287
ER -

References

top
  1. Tight and taut immersions of manifolds, Pitman Adv. Publ. Program, 1985. (1985) MR0781126
  2. 10.1007/BF02684323, Publ. Math. I. H. E. S. 14 (1962), 128–222. (1962) MR0145544DOI10.1007/BF02684323
  3. The topology of 4-dimensional manifolds, J. Diff. Geom. 17 (1982), 357–453. (1982) MR0679066
  4. Differential topology, Springer, 1976. (1976) Zbl0356.57001MR0448362
  5. 10.1007/BF01403250, Invent. Math. 10 (1970), 209–238. (1970) Zbl0195.51102MR0267597DOI10.1007/BF01403250
  6. Tight embeddings and maps, submanifolds of geometrical class three in E N , The Chern Symposium, Springer (1979), 97–145. (1979) MR0609559
  7. Morse theory, Princeton Univ. Press, 1963. (1963) Zbl0108.10401MR0163331
  8. 10.1090/S0002-9939-1978-0487560-8, Proc. Amer. Math. Soc. 70 (1978), 72–74. (1978) Zbl0395.53024MR0487560DOI10.1090/S0002-9939-1978-0487560-8
  9. 10.1073/pnas.38.3.247, Proc. Natl. Acad. Sc. 38 (1952), 247–258. (1952) Zbl0049.12504MR0048031DOI10.1073/pnas.38.3.247
  10. 10.2307/1970086, Ann. of Math. 71 (1960), 352–383. (1960) MR0113232DOI10.2307/1970086
  11. 10.1007/BF02786621, J. Analyse Math. 13 (1964), 257–316. (1964) MR0184256DOI10.1007/BF02786621
  12. Critical point theory in global analysis and differential topology, Acad. Press, New York, 1969. (1969) MR0245046
  13. Critical point theory and submanifold geometry, Springer, 1988. (1988) MR0972503
  14. Algebraic topology, McGraw-Hill, New York, 1966. (1966) Zbl0145.43303MR0210112
  15. Elements of homotopy theory, Springer, 1978. (1978) Zbl0406.55001MR0516508
  16. Total curvature in Riemannian geometry, Ellis Horwood Ltd., West Sussex, England, 1982. (1982) Zbl0501.53038MR0686105

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.