Knarr N. — Translation Planes: Foundations and Construction Principles :: Электронная библиотека попечительского совета мехмата МГУ

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Knarr N. — Translation Planes: Foundations and Construction Principles

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Название: Translation Planes: Foundations and Construction Principles

Автор: Knarr N.

Аннотация:

The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes.
The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 128

Добавлена в каталог: 02.07.2008

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Предметный указатель

$A_{1}$ -indicator set      39
$A_{1}$ -indicator set, normalized      51
$L_{1}$ -indicator set      33
$L_{1}$ -indicator set, normalized      51
*-transversal mapping      29
Andre plane      48
Antilinear      34 37
Axis of a collineation      5
Cayley transformation      34 37
Cayley — dickson extension      49
Center of a collineation      5
Center of a quasifield      17
Component of a spread      7
Contraction      45 61 96
Contraction, strict      63
Dedekind’s lemma      35 104
Dilatation      6
Distributive quasifield      17
distributor      17
Division algebra      17
Division algebra of Rees      83
Division ring      17
Double numbers      37
Dual Spread      23 29
Elation      5
Euclidean plane      37 42
Flock of reguli, hyperbolic      58 65
Flock of reguli, parabolic      58 64
Grassmann manifold      21
Hilbert’s Satz 90      35
Hjelmslev’s line mapping      45
Homology      5
Indicator Set      32
Inversive plane      33 60
Kernel of a quasifield      11
Kernel of a translation plane      8
Kernel, homology      15
Kinematic algebra      45
Kinematic mapping      36
Kinematic space      40
Klein quadric      25
Laguerre plane      60
Left nucleus      17
Lenz type V      18
Lenz — Barlotti figure      5
Lenz — Barlotti type IV.a2      20
Linear transitive      5
Middle nucleus      17

Minkowski plane      39 60
Minkowskian plane      43
Motion group, elliptic      45
Motion group, euclidean      42
Motion group, Minkowskian      43
Moufang plane      6
Nearfield      17
Norm      33 38 45 95
Opposite, regulus      60
Opposite, skewfield      9
Ovoid      26
Partial spread      7
Pfaffian      25
Pluecker mapping      25
Projective plane, Desarguesian      6
Projective plane, pappian      6
Projective plane, topological      21
Proper mapping      20
Proper triangle      6
Quasifield      11
Regulus      55
Representation of a translation plane      9
Right nucleus      17
Semifield      17
Shear      6
slope      13
Spherical distance      45
Spread of a projective space      9
Spread of a vector space      7
Spread set      10
Spread set, normalized      13
Spread, (S,W)-regular      55
Spread, regular      55
Spread, S-regular      55
Spread, topological      22
Stretch translation space      41
Theorem of Brouwer      20
Theorem of Dandelin      55
Theorem of Gingerich      20
Theorem of Hessenberg      6
Theorem of Pontrjagin      21
Theorem of Skornjakov — San Soucie      16
Translation      6
Translation plane      6
Transposed Translation Plane      24
Transversal mapping      27
Unit circle      33
Y-intercept      13

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