| Title:
|
Totally real submanifolds in a quaternion space form (English) |
| Author:
|
Bektaş, Mehmet |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
341-346 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we prove a theorem for $n$-dimensional totally real minimal submanifold immersed in quaternion space form. (English) |
| Keyword:
|
totally real submanifold |
| Keyword:
|
quaternion space form |
| MSC:
|
53C28 |
| MSC:
|
53C40 |
| MSC:
|
53C56 |
| idZBL:
|
Zbl 1080.53049 |
| idMR:
|
MR2059255 |
| . |
| Date available:
|
2009-09-24T11:13:07Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127892 |
| . |
| Reference:
|
[1] M. Bektaş and M. Ergüt: Compact space-like submanifolds with parallel mean curvature vector of a Pseudo-Riemannian space.Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 38 (1999), 17–24. MR 1767186 |
| Reference:
|
[2] B. Y. Chen and K. Ogiue: On totally real submanifolds.Trans. Amer. Math. Soc. 193 (1974), 257–266. MR 0346708, 10.1090/S0002-9947-1974-0346708-7 |
| Reference:
|
[3] B. Y. Chen and C. S. Houh: Totally real submanifolds of a quaternion projective space.Ann. Math. Pura Appl. 120 (1979), 185–199. MR 0551066, 10.1007/BF02411943 |
| Reference:
|
[4] Y. B. Shen: Totally real minimal submanifolds in a quaternion projective space.Chinese Ann. Math. Ser.B 14 (1993), 297–306. Zbl 0811.53061, MR 1264303 |
| Reference:
|
[5] S. S. Chern, M. Carmo and S. Kobayashi: Minimal submanifolds of a sphere with second fundamental form of constant length, functional analysis and related fields.Proc. Conf. for M. Stone, Univ. Chicago, 1968. Vol III, Springer-Verlag, New York, 1970, pp. 59–75. MR 0273546 |
| Reference:
|
[6] H. Sun: Totally real pseudo-umbilical submanifolds of a quaternion space form.Glasgow Math. J. 40 (1998), 109–115. Zbl 0907.53038, MR 1612102, 10.1017/S0017089500032390 |
| Reference:
|
[7] L. Ximin: Totally real submanifolds in a complex projective space.Internat. J. Math. Math. Sci. 22 (1999), 205–208. Zbl 0916.53027, MR 1684368, 10.1155/S0161171299222053 |
| Reference:
|
[8] L. Ximin: Totally real submanifolds in $HP^{m}(1)$ with isotropic second fundamental form.Saitama Math. J. 16 (1998), 23–29. MR 1702177 |
| Reference:
|
[9] L. Ximin: Totally real minimal submanifolds in a quaternion projective space.Proc. Japan. Acad. Ser. A-Math. Sci. 72 (1996), 238–239. Zbl 0877.53043, MR 1435727, 10.3792/pjaa.72.238 |
| . |
