Negative Ricci curvature on some non-solvable Lie groups II
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02310-z
Abstract: We construct many examples of Lie groups admitting a left-invariant metric of negative Ricci curvature. We study Lie algebras which are semidirect products $${\mathfrak {l}}= ({\mathfrak {a}} \oplus {\mathfrak {u}} ) < imes {\mathfrak {n}}$$… read more here.
Keywords: mathfrak; ricci curvature; lie groups; mathfrak mathfrak ... See more keywords
Centralizing traces with automorphisms on triangular algebras
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-018-0797-8
Abstract: AbstractLet $${\mathcal{T}}$$T be a triangular algebra over a commutative ring $${\mathcal{R}}$$R, $${\xi}$$ξ be an automorphism of $${\mathcal{T}}$$T and $${\mathcal{Z}_{\xi}(\mathcal{T})}$$Zξ(T) be the $${\xi}$$ξ-center of $${\mathcal{T}}$$T. Suppose that $${\mathfrak{q} \colon \mathcal{T} \times \mathcal{T} \longrightarrow \mathcal{T}}$$q:T×T⟶T is an… read more here.
Keywords: mathcal mathcal; traces automorphisms; centralizing traces; automorphisms triangular ... See more keywords
Filtered $$cA_\infty $$cA∞-Categories and Functor Categories
Sign Up to like & getrecommendations! Published in 2018 at "Applied Categorical Structures"
DOI: 10.1007/s10485-018-9526-2
Abstract: We develop the basic theory of curved $$A_{\infty }$$A∞-categories ($$cA_{\infty }$$cA∞-categories) in a filtered setting, encompassing the frameworks of Fukaya categories (Fukaya et al. in Part I, AMS/IP studies in advanced mathematics, vol 46, American Mathematical… read more here.
Keywords: mathfrak mathfrak; infty functors; categories filtered; infty categories ... See more keywords
Refinements of Triangle-Like Inequalities in Lie’s Framework
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-020-00955-2
Abstract: In this note, by using gradients of Gateaux differentiable G -increasing functions we prove some refinements of the following Tam’s triangle-type inequality: $$\begin{aligned} {\mathfrak {t}}_+ ( x + y ) \le {\mathfrak {t}}_+ (x) +… read more here.
Keywords: like inequalities; inequalities lie; triangle like; mathfrak mathfrak ... See more keywords