Results 81 to 90 of about 796 (142)

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

Bott-Chern cohomology of solvmanifolds [PDF]

, 2012
We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology.
Daniele Angella, Hisashi Kasuya, Kasuya, Hisashi, Angella, Daniele   +3 more
core  

Quasi-Kahler Chern-flat manifolds and complex 2-step nilpotent Lie algebras [PDF]

, 2012
The study of quasi-Kaehler Chern-flat almost Hermitian manifolds is strictly related to the study of anti-bi-invariant almost complex Lie algebras.
Lauret, J., Di Scala, Antonio Jose', Vezzoni, L.   +2 more
core   +1 more source

Expanding maps and non-trivial selfcovers on infra-nilmanifolds

, 2016
Every expanding map on a closed manifold is topologically conjugate to an expanding map on an infra-nilmanifold, but not every infra-nilmanifold admits an expanding map.
Deré, Jonas, Dekimpe, Karel
core   +2 more sources

The Anosov relation for the Nielsen numbers of maps of infra-nilmanifolds. [PDF]

In 1985 toonde D. Anosov aan dat voor elke continue afbeelding&nbs p;f:M->M op een nilvariëteit M geldt dat N(f)=|L(f)| . Het Nielsen getal N(f) en het Lefschetz getal L(f) zijn twee aan f geassocieerde getallen die informatie geven over h et aantal ...
De Rock, Bram
core  

On Cohomological Decomposability of Almost-Kähler Structures [PDF]

, 2012
We study the J-invariant and J-anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold M endowed with an almost-K\"ahler structure (J, \omega, g).
Tomassini, Adriano, Zhang, Weiyi, Angella, Daniele   +2 more
core  

T-duality of emergent gravities on nilmanifolds

, 2023
We study the transport of generalized metrics between topological T-dual nilmanifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields.
Roychowdhury, Raju, Soriani, Leonardo
core  

Harmonic Analysis in One-Parameter Metabelian Nilmanifolds

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup.
Amira Ghorbel
doaj   +1 more source

T-duality of emergent gravities on nilmanifolds

Journal of High Energy Physics
We study the transport of generalized metrics between topological T-dual nil-manifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields.
Raju Roychowdhury, Leonardo Soriani
doaj   +1 more source

Notes on nilspaces: algebraic aspects

Discrete Analysis, 2017
Notes on nilspaces: algebraic aspects, Discrete Analysis 2017:15, 59 pp. One of the fundamental insights in modern additive combinatorics is that there is a hierarchy of notions of "pseudorandomness" or "higher order Fourier uniformity" that can be ...
Pablo Candela
doaj   +1 more source