On totally real minimal submanifolds in complex projective space

Xiaoli Chao; Yaowen Li

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 1, page 107-116
  • ISSN: 0044-8753

Abstract

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In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.

How to cite

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Chao, Xiaoli, and Li, Yaowen. "On totally real minimal submanifolds in complex projective space." Archivum Mathematicum 041.1 (2005): 107-116. <http://eudml.org/doc/249486>.

@article{Chao2005,
abstract = {In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.},
author = {Chao, Xiaoli, Li, Yaowen},
journal = {Archivum Mathematicum},
keywords = {totally real submanifolds; pinching; totally geodesic; pinching; totally geodesic},
language = {eng},
number = {1},
pages = {107-116},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On totally real minimal submanifolds in complex projective space},
url = {http://eudml.org/doc/249486},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Chao, Xiaoli
AU - Li, Yaowen
TI - On totally real minimal submanifolds in complex projective space
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 1
SP - 107
EP - 116
AB - In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.
LA - eng
KW - totally real submanifolds; pinching; totally geodesic; pinching; totally geodesic
UR - http://eudml.org/doc/249486
ER -

References

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  11. Totally real minimal submanifolds in quaternionic projective space, Chin. Ann. Math. 14B (1993), 297–306. (1993) MR1264303
  12. On scalar curvature of totally real minimal submanifolds, Chin. Ann. Math. 12A (1991), 573–577. (1991) MR1153942
  13. On curvature pinching for minimal and Kahler submanifolds with isotropic second fundamental form, Chin. Ann. Math. 12B (1991), 454–463. (1991) MR1154632
  14. Totally real submanifolds, Geometry and Topology of Submanifolds, Proceedings (1987), 198–208. (1987) MR1116144
  15. On the minimal submanifolds in C P m ( c ) and S n ( 1 ) , Kodai Math. J. 15 (1992), 141–153. (1992) MR1156896

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