The geometry of stable minimal surfaces in metric Lie groups
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7634
Abstract: We study geometric properties of compact stable minimal surfaces with boundary in homogeneous 3-manifolds $X$ that can be expressed as a semidirect product of $\mathbb{R}^2$ with $\mathbb{R}$ endowed with a left invariant metric. For any… read more here.
Keywords: surfaces metric; geometry stable; geometry; stable minimal ... See more keywords
Generalized metricn-Leibniz algebras and generalized orthogonal representationof metric Lie algebras
Sign Up to like & getrecommendations! Published in 2018 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-1803-61
Abstract: We introduce the notion of a generalized metric n-Leibniz algebra and show that there is a one-to-one correspondence between generalized metric n-Leibniz algebras and faithful generalized orthogonal representations of metric Lie algebras (called Lie triple… read more here.
Keywords: lie algebras; metric lie; leibniz algebras; generalized orthogonal ... See more keywords