| Title:
|
On closed 4-manifolds admitting a Morse function with 4 critical points (English) |
| Author:
|
Huang, Wenxue |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
47-59 |
| . |
| Category:
|
math |
| . |
| MSC:
|
57N13 |
| MSC:
|
57R19 |
| MSC:
|
57R70 |
| MSC:
|
58E05 |
| idZBL:
|
Zbl 0907.58007 |
| idMR:
|
MR1371687 |
| DOI:
|
10.21136/CMJ.1996.127269 |
| . |
| Date available:
|
2009-09-24T09:53:37Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127269 |
| . |
| Reference:
|
[1] T. E. Cecil and P. J. Ryan: Tight and taut immersions of manifolds.Pitman Adv. Publ. Program, 1985. MR 0781126 |
| Reference:
|
[2] J. Eells and N. H. Kuiper: Manifolds which are like projective planes.Publ. Math. I. H. E. S. 14 (1962), 128–222. MR 0145544, 10.1007/BF02684323 |
| Reference:
|
[3] M. H. Freedman: The topology of 4-dimensional manifolds.J. Diff. Geom. 17 (1982), 357–453. MR 0679066, 10.4310/jdg/1214437136 |
| Reference:
|
[4] M. W. Hirsch: Differential topology.Springer, 1976. Zbl 0356.57001, MR 0448362 |
| Reference:
|
[5] N. H. Kuiper: Minimal total absolute curvature for immersions.Invent. Math. 10 (1970), 209–238. Zbl 0195.51102, MR 0267597, 10.1007/BF01403250 |
| Reference:
|
[6] N. H. Kuiper: Tight embeddings and maps, submanifolds of geometrical class three in $E^N$.The Chern Symposium, Springer (1979), 97–145. MR 0609559 |
| Reference:
|
[7] J. Milnor: Morse theory.Princeton Univ. Press, 1963. Zbl 0108.10401, MR 0163331 |
| Reference:
|
[8] J. D. Moore: Codimension two submanifolds of positive curvature.Proc. Amer. Math. Soc. 70 (1978), 72–74. Zbl 0395.53024, MR 0487560, 10.1090/S0002-9939-1978-0487560-8 |
| Reference:
|
[9] M. Morse: Homology relations on regular orientable manifolds.Proc. Natl. Acad. Sc. 38 (1952), 247–258. Zbl 0049.12504, MR 0048031, 10.1073/pnas.38.3.247 |
| Reference:
|
[10] M. Morse: The existence of polar nondegenerate functions.Ann. of Math. 71 (1960), 352–383. MR 0113232, 10.2307/1970086 |
| Reference:
|
[11] M. Morse: The elimination of critical points of a non-degenerate funnction.J. Analyse Math. 13 (1964), 257–316. MR 0184256, 10.1007/BF02786621 |
| Reference:
|
[12] M. Morse and S. S. Cairns: Critical point theory in global analysis and differential topology.Acad. Press, New York, 1969. MR 0245046 |
| Reference:
|
[13] R. S. Palais and C. L. Terng: Critical point theory and submanifold geometry.Springer, 1988. MR 0972503 |
| Reference:
|
[14] E. H. Spanier: Algebraic topology.McGraw-Hill, New York, 1966. Zbl 0145.43303, MR 0210112 |
| Reference:
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[15] G. W. Whitehead: Elements of homotopy theory.Springer, 1978. Zbl 0406.55001, MR 0516508 |
| Reference:
|
[16] T. J. Willmore: Total curvature in Riemannian geometry.Ellis Horwood Ltd., West Sussex, England, 1982. Zbl 0501.53038, MR 0686105 |
| . |
