Complete classification of pseudo H-type algebras: II
Sign Up to like & getrecommendations! Published in 2018 at "Geometriae Dedicata"
DOI: 10.1007/s10711-018-0411-9
Abstract: We classify a class of 2-step nilpotent Lie algebras related to the representations of the Clifford algebras in the following way. Let $$J:{{\mathrm{\mathrm {Cl}}}}({\mathbb {R}}^{r,s})\rightarrow {{\mathrm{End}}}(U)$$J:Cl(Rr,s)→End(U) be a representation of the Clifford algebra $${{\mathrm{\mathrm {Cl}}}}({\mathbb… read more here.
Keywords: lie algebras; classification pseudo; type algebras; pseudo type ... See more keywords
The complete classification of a class of new linear Weingarten surfaces in Minkowski space
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124799
Abstract: Abstract In this paper, we consider spacelike and timelike surfaces satisfying an interesting geometric property that the gradient of the mean curvature is a principal direction in a Minkowski 3-space. It is proved that these… read more here.
Keywords: space; linear weingarten; minkowski space; surfaces minkowski ... See more keywords
A complete classification of S 1 -symmetric static vacuum black holes
Sign Up to like & getrecommendations! Published in 2019 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ab497c
Abstract: In a seminal paper of 1917, H. Weyl presented a remarkable reduction of the static axisymmetric vacuum Einstein equations, serving as a relatively straightforward technique to generate and explore new solutions. Weyl's reduction was used… read more here.
Keywords: vacuum black; black holes; symmetric static; vacuum ... See more keywords