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c-Extensions of P- and T-Geometries
2001
Journal of combinatorial theory. Series A
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We consider affine extensions of geometries of Petersen and of tilde type, i.e., of flag-transitive geometries 1 belonging to a diagram where either bwwb X =bwwb P* , i.e., the geometry of edges and vertices ...
Since there are no P-geometries of rank 5 and no T-geometries of rank 5 satisfying (V), this forces n 6. ...
We thank Antonio and his institue for their hospitality and Antonio for many fruitful discussions which sometimes gave us more insight into the problems from a geometric point of view. ...
doi:10.1006/jcta.2000.3077
fatcat:zwy7ksywlvawno5zorozciradm
Lectures on the Calculus of Variations, by O. Bolza. 2nd edition. Dover Publications Inc., New York, 1961. ix + 271 pages. $1.65. - Lectures on the Calculus of Variations, by O. Bolza. 2nd edition. Chelsea Publishing Company, New York, 1961 (1904). ix + 271 pages. $1. 19. - The Calculus of Finite Differences, by G. Boole. Edited by J. F. Moulton. Fourth edition. Reprint 1960 from 1872 edition. Chelsea Publishing Company, New York, 1960. $1. 39. Cloth $3.95. - The Mathematical Theory of Non-uniform Gases, by
...
1963
Canadian mathematical bulletin
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behavior of the medium. The concluding chapter, titled Elastic and Hyperelastic Materials, discusses more general elastic behavior of materials and concludes with a section on stability. ...
Algebraical and Topological Foundations of Geometry, H, Freudenthal (Ed. ). ...
Macmillan Company of Canada, ix + 270 pages. $2. 95. An Index of Mathematical Tables, by A. Fletcher, J. C. P. Miller, L. Rosenhead, L.J. Comrie. Vol. I, Index According to Functions, xi + 608 pages. ...
doi:10.1017/s0008439500031866
fatcat:zw4soi6p3zgfrder6y2kobjhce
Extensions of combinatorial geometries by the addition of a unique line
1984
Journal of combinatorial theory. Series A
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All extensions of a combinatorial geometry G are determined which can be obtained adjoining a unique line. ...
The result is achieved investigating Dilworth structures and modular cuts of Dilworth truncation of G. ...
Let p, q be points in R belonging to C (7 V and C n V', respectively. If p, q belong to the same line t(B,), then C E r, since t(B,) s C and t(Bi) E 7. ...
doi:10.1016/0097-3165(84)90017-7
fatcat:m5x5qxefvvfgtdoiycfjnqxpou
General construction of symmetric parabolic structures
2012
Differential geometry and its applications
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We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regular parabolic geometries with smooth systems of involutive symmetries can be obtained ...
Further, we investigate the case of parabolic contact geometries in great detail and we provide the full classification of those with semisimple groups of symmetries without complex factors. ...
Then it is extension of homogeneous model G → G/K . Let (P → M, ω) be a Cartan geometry of type (L, P ). ...
doi:10.1016/j.difgeo.2012.06.006
fatcat:5gz4dmdtgffrro2twcouqb4me4
Generalized towers of flag-transitive circular extensions of a non-classical C3-geometry
1994
Journal of combinatorial theory. Series A
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It was first found by Neumaier I-7] and called the Neumaier geometry in I-4, p. 258]. ...
Towers of flag-transitive circular extensions of C,-geometries are completely classified by [5] for n ~> 3 and for classical C2-geometry modulo some special cases. ...
imply that (~, c5 p, c((eSP)*)) and (5 °, c(SP*), c((eS~)*)) are all the maximal generalized towers of flag-transitive circular extensions of the sporadic AT-geometry, where e(5 p*) and c((cSf)*) are the ...
doi:10.1016/0097-3165(94)90069-8
fatcat:e673v64oofaoriyv5u6yxn6bje
Geometric structures invariant to symmetries
[article]
2012
arXiv
pre-print
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Then we investigate the case of symmetric parabolic geometries in detail and obtain classification of symmetric AHS-structures and symmetric parabolic contact geometries in the semisimple cases. ...
We introduce and discuss (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. ...
Any extension of (K, H) to (G, P ) induces extension of (K c , H c ) to (G, P ). Example 1.4.6. ...
arXiv:1207.0193v1
fatcat:bsn76vd6s5e2ldtfihhu77b6d4
Some Polar Towers
1991
European journal of combinatorics (Print)
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In this sense, if I say that the (e k • C z ) geometry G is an extension of the (c' . C z ) geometry G' (0::;; t « k -1), that means that residues of type (c'> C z ) in G are isomorphic to G'. ...
C z ) geometries are the ones for U 4(2) , Sp4(2) and Q(;(2); for Sp4(3), U 4 (3) and .0(; (3) . We want to determine the extension of these . ...
doi:10.1016/s0195-6698(13)80016-9
fatcat:2uxsqgas4vgybiy6l7fbkgyeru
Cartan geometries modeled on skeletons and morphisms induced by extension functors
[article]
2016
arXiv
pre-print
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Some examples and applications of the morphisms induced by extension functors are presented in the setting of the Riemannian geometries. ...
We study how to compute (infinitesimal) automorphisms of Cartan geometries modeled on skeletons and how to compute the morphisms induced by the extension functors for particular Cartan geometries. ...
Let (P 1 M → M, ω) be a Cartan geometry of type (R n ⊕gl(n), Gl(n), Ad) satisfying T = 0 and (G(u) → M, ω u ) be the holonomy reduction of (P 1 M → M, ω) at u ∈ P 1 M . ...
arXiv:1602.02019v1
fatcat:zj332ihjvnevfo56tmcxk2gfri
5-dimensional geometries III: the fibered geometries
[article]
2016
arXiv
pre-print
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and the non-maximal geometry SO(4)/SO(2) realized by two distinct maximal geometries. ...
We classify the 5-dimensional homogeneous geometries in the sense of Thurston. ...
If M = G/G p is a 5-dimensional model geometry for which G p T p M decomposes into 1-dimensional and 2-dimensional summands, then G is an extension f : isom M → R r ij → c(r jk , r ki ) t i → c(r ji , ...
arXiv:1605.07546v1
fatcat:bsvbaeeztjdrjgoh2cjnwelgqa
On local Calabi–Yau supermanifolds and their mirrors
2006
Journal of Physics A: Mathematical and General
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studied and explicit results are given for local A_r super-geometries. ...
Solving the usual super- CY condition, requiring the equality of the total U(1) gauge charges of bosons Φ_b and the ghost like fields Ψ_f one ∑_bq_b=∑_fQ_f, as ∑_bq_b=0 and ∑_fQ_f=0, several examples are ...
Acknowledgement 1 : AB would like to thank C. Vafa for kind hospitality at Harvard University, where a part of this work is done. We thank J. Rasmussen and A. ...
doi:10.1088/0305-4470/39/20/022
fatcat:rzz543hkqzh4lgexgglsfwvfi4
Effects of non-extensive electrons and positive/negative dust particles on modulational instability of dust-ion-acoustic solitary waves in non-planar geometry
2016
Pramana (Bangalore)
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It is found that the basic features of the DIA waves are significantly modified by non-extensive electron distribution, polarity of the net dust-charge number density and non-planar geometry. ...
The nonlinear propagation of cylindrical and spherical dust-ion-acoustic (DIA) envelope solitary waves in unmagnetized dusty plasma consisting of dust particles with opposite polarity and non-extensive ...
R c ln √ R c + √ R c − 1 √ R c − √ R c − 1 = 4 R c − 1. (37) The signs of parameters P and Q are important for understanding the physics of solitary waves and instability. ...
doi:10.1007/s12043-016-1309-4
fatcat:beevcqvrqzeeheqg3tpdltxlku
On symmetric CR geometries of hypersurface type
[article]
2018
arXiv
pre-print
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We construct examples of simply connected flat non-degenerate symmetric CR geometries of hypersurface type that do not carry a pseudo-Riemannian metric compatible with the symmetries. ...
We show that non-flat non-degenerate symmetric CR geometries of hypersurface type are covered by CR geometries with a compatible pseudo-Riemannian metric preserved by all symmetries. ...
Differentiation of the equality c(t) = S c(t) c(t) gives X = d dt | t=0 S c(t) (c(t)) = d dt | t=0 S c(t) (x) + T x S x .X, and we get d dt | t=0 S c(t) (x) = X − T x S x .X = 2X. ...
arXiv:1707.07531v3
fatcat:jp4byan6ifcu3oatydgnn2hnay
Regular 2-Graphs and Extensions of Partial Geometries
1991
European journal of combinatorics (Print)
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We study so-called 2-graph geometries. These are geometries that carry a regular 2-graph, but also constitute I-point extensions of partial geometries . ...
First we develop some theory; then we go through lists of known regular 2-graphs and partial geometries in order to find examples. ...
ACKNOWLEDGEMENTS We thank Frank De Clerck and Hennie Wilbrink for several useful discussions. ...
doi:10.1016/s0195-6698(13)80078-9
fatcat:jynx7vrbunhalalefspjjsqydy
Closure Operators and Lattice Extensions
2004
Order
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For closure operators Γ and ∆ on the same set X, we say that ∆ is a weak (resp. strong) extension of Γ if Cl(X, Γ) is a complete meet-subsemilattice (resp. complete sublattice) of Cl(X, ∆). ...
This context is used to describe describe the extensions of a finite lattice that preserve various properties. ...
A set C ⊆ J is Γ S -closed iff for every a ∈ K, if D 0 aK ⊆ C then J aK ⊆ C. 2. For all T ⊆ J and every p ∈ J, p ≤ K K T if and only if p ≤ S S t∈T D 0 tK . ...
doi:10.1007/s11083-004-5178-y
pmid:15127974
fatcat:ryx2z4aof5a53oi6v2ot6k3mbi
Extension Phenomena for Holomorphic Geometric Structures
2009
Symmetry, Integrability and Geometry: Methods and Applications
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The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more. ...
The author is grateful to the editors, and to Sorin Dumitrescu, Sergei Ivashkovich and anonymous reviewers for their assistance in improving this paper. ...
Among Cartan geometries on surfaces, this theorem applies to • C 2 -geometries, for any of the various complex Lie groups acting transitively on C 2 and • P 1 × P 1 \diagonal-geometries; see Example 5.26 ...
doi:10.3842/sigma.2009.058
fatcat:kfmvzc6jfrgezikehhn32ozplu
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