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1
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A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors

100%
Wang Y.
Open Mathematics
|
2016
|
tom 14
|
nr 1
977-985
EN
Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) × ℝ. This generalizes a recent result obtained by [Wang Y., Three-dimensional locally symmetric almost Kenmotsu manifolds, Ann. Polon. Math., 2016, 116, 79-86] and [Cho J.T., Local symmetry on almost Kenmotsu three-manifolds, Hokkaido Math. J., 2016, 45, 435-442].
2
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The upper bound of the number of eigenvalues for a class of perturbed Dirichlet forms

100%
Cupała W.
Studia Mathematica
|
1995
|
tom 113
|
nr 2
109-125
EN
The theory of Markov processes and the analysis on Lie groups are used to study the eigenvalue asymptotics of Dirichlet forms perturbed by scalar potentials.
3
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The dynamic of a Lie group endomorphism

100%
Ayala V., Román-Flores H., Da Silva A.
Open Mathematics
|
2017
|
tom 15
|
nr 1
1477-1486
EN
For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ.
4
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Varieties of topological groups, Lie groups and SIN-groups

88%
Hofmann K. H., Morris S. A., Stroppel M.
Colloquium Mathematicum
|
1996
|
tom 70
|
nr 2
151-163
EN
In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups
5
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On representation theory and the cohomology rings of irreducible compact hyperkähler manifolds of complex dimension four

51%
Guan D.
Open Mathematics
|
2003
|
tom 1
|
nr 4
661-669
EN
In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b 2=7, b 3=0 or 8. The latter was achieved by the Beauville construction.
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