Four-dimensional metric Lie groups with zero Schouten–Weyl tensor

Sibirskie Elektronnye Matematicheskie Izvestiya ◽

10.33048/semi.2019.16.019 ◽

2019 ◽

Vol 16 ◽

pp. 271-330

Author(s):

P. N. Klepikov

Keyword(s):

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Left-invariant Riemannian metrics on four-dimensional unimodular Lie groups with zero-divergence Weyl tensor

Doklady Mathematics ◽

10.1134/s1064562410020377 ◽

2010 ◽

Vol 81 (2) ◽

pp. 298-300 ◽

Author(s):

O. P. Gladunova ◽

V. V. Slavskii

Keyword(s):

Weyl Tensor ◽

Riemannian Metrics ◽

Invariant Riemannian Metrics

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Algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl tensor

Doklady Mathematics ◽

10.1134/s1064562417010197 ◽

2017 ◽

Vol 95 (1) ◽

pp. 62-64

Author(s):

P. N. Klepikov ◽

E. D. Rodionov

Keyword(s):

Weyl Tensor ◽

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Harmonicity of Weyl Tensor of Left-Invariant Riemannian Metrics on Four-Dimensional Nonunimodular Nondecomposable Lie Groups

Izvestiya of Altai State University ◽

10.14258/izvasu(2014)1.2-10 ◽

2014 ◽

pp. 62-73

Author(s):

Evgeny Rodionov ◽

Victor Slavskii ◽

Olesia Khromova

Keyword(s):

Weyl Tensor ◽

Riemannian Metrics ◽

Invariant Riemannian Metrics

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Harmonicity of the Weyl tensor of left-invariant Riemannian metrics on four-dimensional unimodular Lie groups

Siberian Advances in Mathematics ◽

10.3103/s1055134413010033 ◽

2013 ◽

Vol 23 (1) ◽

pp. 32-46 ◽

Author(s):

O. P. Gladunova ◽

V. V. Slavskiĭ

Keyword(s):

Weyl Tensor ◽

Riemannian Metrics ◽

Invariant Riemannian Metrics

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Left-invariant pseudo-Riemannian metrics on four-dimensional lie groups with nonzero Schouten–Weyl tensor

Russian Mathematics ◽

10.3103/s1066369x17080102 ◽

2017 ◽

Vol 61 (8) ◽

pp. 81-85

Author(s):

P. N. Klepikov

Keyword(s):

Weyl Tensor ◽

Riemannian Metrics

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Left-invariant Riemannian metrics on four-dimensional nonunimodular Lie groups with zero-divergence Weyl tensor

Doklady Mathematics ◽

10.1134/s1064562410030154 ◽

2010 ◽

Vol 81 (3) ◽

pp. 392-394 ◽

Author(s):

D. S. Voronov ◽

E. D. Rodionov

Keyword(s):

Weyl Tensor ◽

Riemannian Metrics ◽

Invariant Riemannian Metrics

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About Harmonic Weyl Tensor of Left-Invariant Riemannian Metrics on Four-Dimensional Nonunimodular Decomposable Lie Groups

Izvestiya of Altai State University ◽

10.14258/izvasu(2014)1.1-27 ◽

2014 ◽

pp. 122-126

Author(s):

Evgeny Rodionov ◽

Victor Slavskii ◽

Olesia Khromova

Keyword(s):

Weyl Tensor ◽

Riemannian Metrics ◽

Invariant Riemannian Metrics ◽

Harmonic Weyl Tensor

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Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

10.1017/cbo9780511599897 ◽

1995 ◽

Author(s):

Josi A. de Azcárraga ◽

Josi M. Izquierdo

Keyword(s):

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Discrete Subgroups of Lie Groups

10.1007/978-3-642-86426-1 ◽

1972 ◽

Author(s):

M. S. Raghunathan

Keyword(s):

Discrete Subgroups

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Multiplicity One Theorems for Generalized Gelfand–Graev Representations of Semisimple Lie Groups and Whittaker Models for the Discrete Series

Representations of Lie Groups, Kyoto, Hiroshima, 1986 ◽

10.2969/aspm/01410031 ◽

2018 ◽

Author(s):

Hiroshi Yamashita

Keyword(s):

Discrete Series ◽

Semisimple Lie Groups ◽

Multiplicity One ◽

Whittaker Models

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