Results 61 to 70 of about 1,765 (105)
Abelian Hypercomplex 8-Dimensional Nilmanifolds
Annals of Global Analysis and Geometry, 2000 An invariant Abelian hypercomplex structure on a nilpotent Lie group \(N\) is a pair of anticommuting complex structures \(J_1\) and \(J_2\) such that for each \(J_i\), the corresponding holomorphic vector field \(\Lambda^{1,0}{\mathfrak n}\) is Abelian. The article recalls the notion of a group of type \(H\), defined via an orthogonal decomposition of
DOTTI I. G., FINO, Anna Maria
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Gravitational instantons with quadratic volume growth
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract There are two known classes of gravitational instantons with quadratic volume growth at infinity, known as type ALG$\operatorname{ALG}$ and ALG∗$\operatorname{ALG}^*$. Gravitational instantons of type ALG$\operatorname{ALG}$ were previously classified by Chen–Chen.
Gao Chen, Jeff Viaclovsky
wiley +1 more source
Manifolds with small Dirac eigenvalues are nilmanifolds
, 2004 Consider the class of n-dimensional Riemannian spin manifolds with bounded sectional curvatures and diameter, and almost non-negative scalar curvature. Let r=1 if n=2,3 and r=2^{[n/2]-1}+1 if n\geq 4.
B. Ammann +27 more
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Discrete Analysis, 2017 Notes on compact nilspaces, Discrete Analysis 2017:16, 57 pp. This is the second paper in a two-part series. The first paper, [also published in this journal](http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects ...
Pablo Candela
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Analytic torsion of nilmanifolds with (2, 3, 5) distributions
Analysis and Geometry in Metric SpacesWe consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.
Haller Stefan
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Special Hermitian metrics on compact solvmanifolds
, 2015 We review some constructions and properties of complex manifolds admitting pluriclosed and balanced metrics. We prove that for a 6-dimensional solvmanifold endowed with an invariant complex structure J having holomorphically trivial canonical bundle the ...
Alexandrov +47 more
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Mathematische Annalen, 2010 14 pages; v2: corrected equation in introduction; added solvable example; rearranged contents of Proposition 3 and Lemma 4; v3: corrected typos, added remark about unimodular ...
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A common fixed point theorem for commuting expanding maps on nilmanifolds
Electronic Journal of Differential Equations, 2005 A self-map $f$ of a compact connected manifold $M$ is expanding if it locally expands distances with respect to some metric. We consider the case when $M$ is a nilmanifold and we discuss a new common fixed point theorem for two expanding maps which ...
Roberto Tauraso
doaj
There are only finitely many infra-nilmanifolds under each nilmanifold: a new proof
Indagationes Mathematicae, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dekimpe, Karel +2 more
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Geodesic conjugacies of two-step nilmanifolds.
Michigan Mathematical Journal, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gordon, Carolyn, Mao, Yiping
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