On the automorphism group of a compact Lorentz manifold and other geometric manifolds

1986 ◽  
Vol 83 (3) ◽  
pp. 411-424 ◽  
Author(s):  
Robert J. Zimmer
Keyword(s):  
Automorphism Group ◽  
Lorentz Manifold ◽  
Compact Lorentz Manifold

Extension of a compact Lorentz manifold

1973 ◽  
Vol 14 (4) ◽  
pp. 484-485 ◽  
Author(s):  
J. G. Miller ◽  
M. D. Kruskal
Keyword(s):  
Lorentz Manifold ◽  
Compact Lorentz Manifold

The isometry group of a compact Lorentz manifold. I

1997 ◽  
Vol 129 (2) ◽  
pp. 239-261 ◽  
Author(s):  
Scot Adams ◽  
Garrett Stuck
Keyword(s):  
Isometry Group ◽  
Lorentz Manifold ◽  
Compact Lorentz Manifold

The isometry group of a compact Lorentz manifold. II

1997 ◽  
Vol 129 (2) ◽  
pp. 263-287 ◽  
Author(s):  
Scot Adams ◽  
Garrett Stuck
Keyword(s):  
Isometry Group ◽  
Lorentz Manifold ◽  
Compact Lorentz Manifold

scholarly journals On the automorphism group of a symplectic half-flat 6-manifold

2019 ◽  
Vol 31 (1) ◽  
pp. 265-273
Author(s):  
Fabio Podestà ◽  
Alberto Raffero
Keyword(s):  
Automorphism Group ◽  
Lie Algebra ◽  
Group Action ◽  
Cohomogeneity One ◽  
Cohomogeneity One Action

Abstract We prove that the automorphism group of a compact 6-manifold M endowed with a symplectic half-flat {\mathrm{SU}(3)} -structure has Abelian Lie algebra with dimension bounded by {\min\{5,b_{1}(M)\}} . Moreover, we study the properties of the automorphism group action and we discuss relevant examples. In particular, we provide new complete examples on {T\mathbb{S}^{3}} which are invariant under a cohomogeneity one action of {\mathrm{SO}(4)} .

scholarly journals ON EDGE-PRIMITIVE GRAPHS WITH SOLUBLE EDGE-STABILIZERS

2021 ◽  
pp. 1-28
Author(s):  
HUA HAN ◽  
HONG CI LIAO ◽  
ZAI PING LU
Keyword(s):  
Automorphism Group

Abstract A graph is edge-primitive if its automorphism group acts primitively on the edge set, and $2$ -arc-transitive if its automorphism group acts transitively on the set of $2$ -arcs. In this paper, we present a classification for those edge-primitive graphs that are $2$ -arc-transitive and have soluble edge-stabilizers.

scholarly journals Affine cones over cubic surfaces are flexible in codimension one

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Perepechko
Keyword(s):  
Automorphism Group ◽  
Open Subset ◽  
Pezzo Surface ◽  
Ample Divisor ◽  
Transitive Action ◽  
Del Pezzo Surface ◽  
Codimension One ◽  
Cubic Surfaces ◽  
Special Automorphism ◽  
Del Pezzo

AbstractLet Y be a smooth del Pezzo surface of degree 3 polarized by a very ample divisor that is not proportional to the anticanonical one. Then the affine cone over Y is flexible in codimension one. Equivalently, such a cone has an open subset with an infinitely transitive action of the special automorphism group on it.

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