On real flag manifolds with cup-length equal to its dimension
Czechoslovak Mathematical Journal (2020)
- Volume: 70, Issue: 2, page 299-310
- ISSN: 0011-4642
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topRadovanović, Marko. "On real flag manifolds with cup-length equal to its dimension." Czechoslovak Mathematical Journal 70.2 (2020): 299-310. <http://eudml.org/doc/297160>.
@article{Radovanović2020,
abstract = {We prove that for any positive integers $n_1,n_2,\ldots ,n_k$ there exists a real flag manifold $F(1,\ldots ,1,n_1,n_2,\ldots ,n_k)$ with cup-length equal to its dimension. Additionally, we give a necessary condition that an arbitrary real flag manifold needs to satisfy in order to have cup-length equal to its dimension.},
author = {Radovanović, Marko},
journal = {Czechoslovak Mathematical Journal},
keywords = {cup-length; flag manifold; Lyusternik-Shnirel'man category},
language = {eng},
number = {2},
pages = {299-310},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On real flag manifolds with cup-length equal to its dimension},
url = {http://eudml.org/doc/297160},
volume = {70},
year = {2020},
}
TY - JOUR
AU - Radovanović, Marko
TI - On real flag manifolds with cup-length equal to its dimension
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 2
SP - 299
EP - 310
AB - We prove that for any positive integers $n_1,n_2,\ldots ,n_k$ there exists a real flag manifold $F(1,\ldots ,1,n_1,n_2,\ldots ,n_k)$ with cup-length equal to its dimension. Additionally, we give a necessary condition that an arbitrary real flag manifold needs to satisfy in order to have cup-length equal to its dimension.
LA - eng
KW - cup-length; flag manifold; Lyusternik-Shnirel'man category
UR - http://eudml.org/doc/297160
ER -
References
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