Repositorio
Institucional

Godoy Molina, Mauricio

Kruglikov, Boris#Markina, Irina#Vasil'ev, Alexander

Rigidity of 2-Step Carnot Groups

SPRINGER

JOURNAL OF GEOMETRIC ANALYSIS

en

In the present paper, we study the rigidity of 2-step Carnot groups, or equivalently, of graded 2-step nilpotent Lie algebras. We prove the alternative that depending on bi-dimensions of the algebra, the Lie algebra structure makes it either always of infinite type or generically rigid, and we specify the bi-dimensions for each of the choices. Explicit criteria for rigidity of pseudo H- and J-type algebras are given. In particular, we establish the relation of the so-called J2-condition to rigidity, and we explore these conditions in relation to pseudo H-type algebras.

Artículo original

The first author is partially supported by the Grants Anillo ACT 1415 PIA CONICYT and DI17-0147 from Universidad de La Frontera. The second author is grateful to the Mainz Institute for Theoretical Physics (MITP) for its hospitality and partial support during the conference GGSUSY-2017, where this work was reported and discussed. The third and fourth authors are partially supported by the Grants of the Norwegian Research Council #239033/F20 and EU FP7 IRSES program STREVCOMS, Grant No. PIRSES-GA-2013-612669.

El primer autor cuenta con el apoyo parcial de las Becas Anillo ACT 1415 PIA CONICYT y DI17-0147 de la Universidad de La Frontera. El segundo autor agradece al Instituto de Física Teórica de Maguncia (MITP) su hospitalidad y apoyo parcial durante la conferencia GGSUSY-2017, donde se presentó y discutió este trabajo. El tercer y cuarto autores cuentan con el apoyo parcial de las Becas del Consejo Noruego de Investigación n.° 239033/F20 y del programa IRSES del 7PM de la UE STREVCOMS, Beca n.° PIRSES-GA-2013-612669.

The first author is partially supported by the Grants Anillo ACT 1415 PIA CONICYT and DI17-0147 from Universidad de La Frontera. The second author is grateful to the Mainz Institute for Theoretical Physics (MITP) for its hospitality and partial support during the conference GGSUSY-2017, where this work was reported and discussed. The third and fourth authors are partially supported by the Grants of the Norwegian Research Council

239033/F20 and EU FP7 IRSES program STREVCOMS, Grant No. PIRSES-GA-2013-612669.

10.1007/s12220-017-9875-3

pdf

Clifford algebra# Clifford module# Tanaka prolongation# Pseudo H-type algebra# J-type algebra# J(2)-condition# Rigidity

http://dx.doi.org/10.1007/s12220-017-9875-3

Mathematics

álgebra de Clifford# Módulo Clifford# Prolongación de Tanaka# Pseudoálgebra tipo H# álgebra tipo J# condición J(2)# Rigidez

Matemáticas Puras

Matemáticas Aplicadas

Otras Especialidades de Matemáticas

WOS:000430878800028

Rigidity of 2-Step Carnot Groups

arXiv:1603.00373v2

Artículo original

version publicada

SPRINGER

JOURNAL OF GEOMETRIC ANALYSIS

Matemáticas

1050-6926

en

ANID ACT 1415 PIA#UFRO DI17-0147#orwegian Research Council 239033/F20#EU FP7 IRSES PIRSES-GA-2013-612669

ANID CONICYT ACT 1415 PIA

UFRO DI17-0147

Mainz Institute for Theoretical Physics (MITP)

Norwegian Research Council 239033/F20]

EU FP7 IRSES STREVCOMS PIRSES-GA-2013-612669

The first author is partially supported by the Grants Anillo ACT 1415 PIA CONICYT and DI17-0147 from Universidad de La Frontera. The second author is grateful to the Mainz Institute for Theoretical Physics (MITP) for its hospitality and partial support during the conference GGSUSY-2017, where this work was reported and discussed. The third and fourth authors are partially supported by the Grants of the Norwegian Research Council #239033/F20 and EU FP7 IRSES program STREVCOMS, Grant No. PIRSES-GA-2013-612669.

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