Local Invariants

1988 ◽  
pp. 45-57
Author(s):  
Gerard Geer
Keyword(s):  
Local Invariants

Local Invariants of Framed Fronts in 3-Manifolds

2015 ◽  
Vol 1 (3) ◽  
pp. 211-232 ◽  
Author(s):  
Victor Goryunov ◽  
Suliman Alsaeed
Keyword(s):  
Local Invariants

scholarly journals Local invariants of singular surfaces in an almost complex four-manifold

1993 ◽  
Vol 11 (2) ◽  
pp. 125-133 ◽  
Author(s):  
Goo Ishikawa ◽  
Toru Ohmoto
Keyword(s):  
Singular Surfaces ◽  
Almost Complex ◽  
Local Invariants

scholarly journals Gamma Factors, Root Numbers, and Distinction

2018 ◽  
Vol 70 (3) ◽  
pp. 683-701 ◽  
Author(s):  
Nadir Matringe ◽  
Omer Offen
Keyword(s):  
Linear Group ◽  
General Linear Group ◽  
Quadratic Extension ◽  
Root Number ◽  
Converse Problem ◽  
Root Numbers ◽  
Special Values ◽  
Distinguished Representations ◽  
Local Invariants ◽  
Gamma Factor

AbstractWe study a relation between distinction and special values of local invariants for representations of the general linear group over a quadratic extension of p-adic fields. We show that the local Rankin–Selberg root number of any pair of distinguished representation is trivial, and as a corollary we obtain an analogue for the global root number of any pair of distinguished cuspidal representations. We further study the extent to which the gamma factor at 1/2 is trivial for distinguished representations as well as the converse problem.

Local invariants for recognition

1995 ◽  
Vol 17 (3) ◽  
pp. 226-238 ◽  
Author(s):  
E. Rivlin ◽  
I. Weiss
Keyword(s):  
Local Invariants

scholarly journals Local invariants in non-ideal flows of neutral fluids and two-fluid plasmas

2018 ◽  
Vol 30 (3) ◽  
pp. 037104 ◽  
Author(s):  
Jian-Zhou Zhu
Keyword(s):  
Local Invariants ◽  
Two Fluid

scholarly journals The Geometry of Marked Contact Engel Structures

2020 ◽  
Author(s):  
Gianni Manno ◽  
Paweł Nurowski ◽  
Katja Sagerschnig
Keyword(s):  
Local Geometry ◽  
Dimensional Manifold ◽  
Twisted Cubic ◽  
Homogeneous Models ◽  
Local Invariants ◽  
Twisted Cubics ◽  
Cubic Structure ◽  
Contact Distribution ◽  
Engel Structures ◽  
Engel Structure

AbstractA contact twisted cubic structure$$({\mathcal M},\mathcal {C},{\varvec{\upgamma }})$$ ( M , C , γ ) is a 5-dimensional manifold $${\mathcal M}$$ M together with a contact distribution $$\mathcal {C}$$ C and a bundle of twisted cubics $${\varvec{\upgamma }}\subset \mathbb {P}(\mathcal {C})$$ γ ⊂ P ( C ) compatible with the conformal symplectic form on $$\mathcal {C}$$ C . The simplest contact twisted cubic structure is referred to as the contact Engel structure; its symmetry group is the exceptional group $$\mathrm {G}_2$$ G 2 . In the present paper we equip the contact Engel structure with a smooth section $$\sigma : {\mathcal M}\rightarrow {\varvec{\upgamma }}$$ σ : M → γ , which “marks” a point in each fibre $${\varvec{\upgamma }}_x$$ γ x . We study the local geometry of the resulting structures $$({\mathcal M},\mathcal {C},{\varvec{\upgamma }}, \sigma )$$ ( M , C , γ , σ ) , which we call marked contact Engel structures. Equivalently, our study can be viewed as a study of foliations of $${\mathcal M}$$ M by curves whose tangent directions are everywhere contained in $${\varvec{\upgamma }}$$ γ . We provide a complete set of local invariants of marked contact Engel structures, we classify all homogeneous models with symmetry groups of dimension $$\ge 6$$ ≥ 6 up to local equivalence, and we prove an analogue of the classical Kerr theorem from Relativity.

Sign in / Sign up

Export Citation Format

Share Document