Results 1 to 10 of about 910 (47)
Slab theorem and halfspace theorem for constant mean curvature surfaces in $\mathbb H^2\times\mathbb R$ [PDF]
Revista matemática iberoamericana, 2021 We prove that a properly embedded annular end of a surface in H 2 × R with constant mean curvature 0 < H ≤ 12 can not be contained in any horizontal slab.
L. Hauswirth +2 more
semanticscholar +1 more source
Complex Manifolds, 2022 We give a complete classification of left invariant para-Kähler structures on four-dimensional simply connected Lie groups up to an automorphism. As an application we discuss some curvatures properties of the canonical connection associated to these ...
Mansouri M. W., Oufkou A.
doaj +1 more source
Moduli Spaces of Affine Homogeneous Spaces [PDF]
Bulletin of the Belgian Mathematical Society Simon Stevin, 2017 Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a given base point.
G. Weingart
semanticscholar +1 more source
On Degenerate 3-(α, δ)-Sasakian Manifolds
Complex Manifolds, 2022 We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver +2 more
doaj +1 more source
Locally conformally balanced metrics on almost abelian Lie algebras
Complex Manifolds, 2021 We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
doaj +1 more source
Covering maps and ideal embeddings of compact homogeneous spaces [PDF]
, 2017 The notion of ideal embeddings was introduced in [B.-Y. Chen, Strings of Riemannian invariants, inequalities, ideal immersions and their applications. The Third Pacific Rim Geometry Conference (Seoul, 1996), 7–60, Int.
Bang‐Yen Chen
semanticscholar +1 more source
Complex product structures on 6-dimensional nilpotent Lie algebras [PDF]
, 2006 We study complex product structures on nilpotent Lie algebras, establishing some of their main properties, and then we restrict ourselves to 6 dimensions, obtaining the classification of 6-dimensional nilpotent Lie algebras admitting such structures.
A. Andrada
semanticscholar +1 more source
An Integrability Condition for Simple Lie Groups II [PDF]
, 2015 It is shown that a simple Lie group $G$ ($ \neq {\rm SL}_2$) can be locally characterised by an integrability condition on an $\operatorname{Aut}(\mathfrak{g})$ structure on the tangent bundle, where $\operatorname{Aut}(\mathfrak{g})$ is the automorphism
Min-Oo, Maung
core +2 more sources
On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group [PDF]
, 2010 In this note we prove that the Heisenberg group with a left-invariant pseudo-Riemannian metric admits a completely integrable totally geodesic distribution of codimension 1.
Batat, Wafaa, Rahmani, Salima
core +2 more sources
Invariant Matsumoto metrics on homogeneous spaces [PDF]
, 2013 In this paper we consider invariant Matsumoto metrics which are induced by invariant Riemannian metrics and invariant vector fields on homogeneous spaces then we give the flag curvature formula of them.
Moghaddam, H. R. Salimi
core +3 more sources