Scalar curvature behavior of homogeneous Ricci flows [PDF]
arXiv, 2012 We prove that the scalar curvature of a homogeneous Ricci flow solution blows up at a forward or backward finite-time singularity.
arxiv
The Homology Groups of $G_{n,m}(\mathbb{R})$ [PDF]
arXiv, 2017 In this article, we computed the homology groups of real Grassmann manifold $G_{n,m}(\mathbb{R})$ by Witten complex.
arxiv
Classification of integrable complex structures on 6-dimensional product Lie algebras [PDF]
arXiv, 2018 We classify all integrable complex structures on 6-dimensional Lie algebras of the form $\mathfrak{g}\times\mathfrak{g}$.
arxiv
Homogeneous $(α,β)$-spaces with positive flag curvature and vanishing S-curvature [PDF]
arXiv, 2015 We give a complete classification of homogeneous $(\alpha,\beta)$-metrics with positive flag curvature and vanishing S-curvature.
arxiv
Natural $Γ$-symmetric structures on $R$-spaces [PDF]
arXiv, 2019 We classify $R$-spaces that admit a certain natural $\Gamma$-symmetric structure. We further determine the maximal antipodal sets of these structures.
arxiv
Health effects of European colonization: An investigation of skeletal remains from 19th to early 20th century migrant settlers in South Australia. [PDF]
PLoS One, 2022 Gurr A +5 more
europepmc +1 more source
A family of adapted complexifications for noncompact semisimple Lie groups [PDF]
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5), Vol VIII (2009), 17-49, 2005 The maximal complexifications adapted to the Levi Civita connection for a distinguished one-parameter family of left-invariant metrics on a real semisimple Lie group G are determined. For G = SL(2,R) their realizations as invariant Riemann domains into SL(2,C) are carried out and their complex-geometric properties are investigated.
arxiv
Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$ [PDF]
arXiv, 2016 It is well known that the Einstein equation on a Riemannian flag manifold $(G/K,g)$ reduces to an algebraic system if $g$ is a $G$-invariant metric. In this paper we obtain explicitly new invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$; and we compute the Einstein system for generalized flag manifolds of type $Sp(n ...
arxiv
Randers Ricci soliton homogeneous nilmanifolds
, 2019 Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant.
Moghaddam, Hamid Reza Salimi
core
Holonomy and 3-Sasakian homogeneous manifolds versus symplectic triple systems [PDF]
arXiv, 2019 Our aim is to support the choice of two remarkable connections with torsion in a 3-Sasakian manifold, proving that, in contrast to the Levi-Civita connection, the holonomy group in the homogeneous cases reduces to a proper subgroup of the special orthogonal group, of dimension considerably smaller.
arxiv