Grassmann manifold $V_3^4$ in the projective space $P_7$ with characteristics consisting of a quadric and two planes

Vala, Josef. "Grassmann manifold $V^4_3$ in the projective space $P_7$ with characteristics consisting of a quadric and two planes." Mathematica Bohemica 118.3 (1993): 225-240. <http://eudml.org/doc/29082>.

@article{Vala1993,
abstract = {Some results in the geometry of four-parametric manifolds of three-dimensional spaces in the projective space $P_7$ are found. The properties of such a manifold $V^4_3$ with characteristics consisting of a quadric and two planes are studied. The properties of the manifold dual to $V^4_3$ are found. Some results in the geometry of linear spaces from [1],[2],[3],[4] are used. The notation of the quantities is the same as in [4].},
author = {Vala, Josef},
journal = {Mathematica Bohemica},
keywords = {systems of linear spaces; dual manifold; four-parametric manifolds; projective space; characteristics; differential geometry of systems of linear spaces; systems of linear spaces; dual manifold; four-parametric manifolds; projective space; characteristics},
language = {eng},
number = {3},
pages = {225-240},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Grassmann manifold $V^4_3$ in the projective space $P_7$ with characteristics consisting of a quadric and two planes},
url = {http://eudml.org/doc/29082},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Vala, Josef
TI - Grassmann manifold $V^4_3$ in the projective space $P_7$ with characteristics consisting of a quadric and two planes
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 3
SP - 225
EP - 240
AB - Some results in the geometry of four-parametric manifolds of three-dimensional spaces in the projective space $P_7$ are found. The properties of such a manifold $V^4_3$ with characteristics consisting of a quadric and two planes are studied. The properties of the manifold dual to $V^4_3$ are found. Some results in the geometry of linear spaces from [1],[2],[3],[4] are used. The notation of the quantities is the same as in [4].
LA - eng
KW - systems of linear spaces; dual manifold; four-parametric manifolds; projective space; characteristics; differential geometry of systems of linear spaces; systems of linear spaces; dual manifold; four-parametric manifolds; projective space; characteristics
UR - http://eudml.org/doc/29082
ER -