Ideal CR submanifolds in non-flat complex space forms
Czechoslovak Mathematical Journal, Tome 64 (2014) no. 1, pp. 79-90
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.
An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.
DOI :
10.1007/s10587-014-0085-x
Classification :
32V40, 53B25, 53C40, 53C42
Keywords: $\delta $-invariants; CR submanifolds; ideal submanifolds
Keywords: $\delta $-invariants; CR submanifolds; ideal submanifolds
@article{10_1007_s10587_014_0085_x,
author = {Sasahara, Toru},
title = {Ideal {CR} submanifolds in non-flat complex space forms},
journal = {Czechoslovak Mathematical Journal},
pages = {79--90},
year = {2014},
volume = {64},
number = {1},
doi = {10.1007/s10587-014-0085-x},
mrnumber = {3247446},
zbl = {06391478},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-014-0085-x/}
}
TY - JOUR AU - Sasahara, Toru TI - Ideal CR submanifolds in non-flat complex space forms JO - Czechoslovak Mathematical Journal PY - 2014 SP - 79 EP - 90 VL - 64 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-014-0085-x/ DO - 10.1007/s10587-014-0085-x LA - en ID - 10_1007_s10587_014_0085_x ER -
Sasahara, Toru. Ideal CR submanifolds in non-flat complex space forms. Czechoslovak Mathematical Journal, Tome 64 (2014) no. 1, pp. 79-90. doi: 10.1007/s10587-014-0085-x
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