Results 1 to 10 of about 1,051 (57)
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
Complex structures on the complexification of a real Lie algebra
Complex Manifolds, 2018 Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the ...
Yamada Takumi
doaj +1 more source
Isometry Lie algebras of indefinite homogeneous spaces of finite volume
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 1115-1148, October 2019., 2019 Abstract Let g be a real finite‐dimensional Lie algebra equipped with a symmetric bilinear form ⟨·,·⟩. We assume that ⟨·,·⟩ is nil‐invariant. This means that every nilpotent operator in the smallest algebraic Lie subalgebra of endomorphisms containing the adjoint representation of g is an infinitesimal isometry for ⟨·,·⟩.
Oliver Baues +2 more
wiley +1 more source
ON A CERTAIN CLASS OF WEINGARTEN SURFACES IN SOL SPACE
, 2015 In this paper a certain class of Weingarten surfaces in Sol geometry is considered. The theorem that the only non-planar ruled Weingarten surface composed from vertical geodesics are surfaces r(u, v) = (ae, be, v) is proved.
Zlatko Erjavec
semanticscholar +1 more source