Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 186-193
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S. E. Kozlov; M. Yu. Nikanorova. Sectional curvatures and the separation set of the complex projective space in its Plücker model. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 186-193. http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a12/
@article{ZNSL_2001_280_a12,
author = {S. E. Kozlov and M. Yu. Nikanorova},
title = {Sectional curvatures and the separation set of the complex projective space in its {Pl\"ucker} model},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {186--193},
year = {2001},
volume = {280},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a12/}
}
TY - JOUR
AU - S. E. Kozlov
AU - M. Yu. Nikanorova
TI - Sectional curvatures and the separation set of the complex projective space in its Plücker model
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 186
EP - 193
VL - 280
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a12/
LA - ru
ID - ZNSL_2001_280_a12
ER -
%0 Journal Article
%A S. E. Kozlov
%A M. Yu. Nikanorova
%T Sectional curvatures and the separation set of the complex projective space in its Plücker model
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 186-193
%V 280
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a12/
%G ru
%F ZNSL_2001_280_a12
The Plücker embedding of the complex projective space $\mathbb CP^{k-1}$ in the Grassmannian $G^+_{2,2k}$ of bivectors is used for proving several theorems on the relationship between the complex structure of $\mathbb CP^{k-1}$ and its Riemannian geometry. It is shown that the separation set of $\mathbb CP^{k-1}$ in the Plücker model is a face of $G^+_{2,2k}$ for a certain calibration.
