Results 31 to 40 of about 444 (112)
Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds, II [PDF]
, 1997 McCord (1991) claimed that Nielsen coincidence numbers and Lefschetz coincidence numbers are related by the inequality N(f, g) ⩾ ¦L(f, g)¦ for all maps f,g:S1 → S2 between compact orientable solvmanifolds of the same dimension.
McCord, Christopher K.
core +1 more source
A Sheaf‐Theoretic CR Reduction for Levi‐Flat Manifolds Beyond the Kähler Setting
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a sheaf‐theoretic reduction formalism for real‐analytic homogeneous CR manifolds realized as orbits in complex homogeneous manifolds. Let M = G0/H0 be such a CR manifold, let M↪X be a complex realization, and let π : X⟶Y be the holomorphic reduction of the ambient complex manifold.
Abdel Rahman Al-Abdallah, Shikha Binwal
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 +3 more
core
Twisted conjugacy in soluble arithmetic groups
Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo +1 more
wiley +1 more source
Symplectic Bott-Chern cohomology of solvmanifolds [PDF]
, 2013 We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T.
Daniele Angella +3 more
core
Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical
Mathematische Nachrichten, Volume 297, Issue 12, Page 4705-4729, December 2024.Abstract In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 is provided.
Beatrice Brienza, Anna Fino
wiley +1 more source
ON DE RHAM AND DOLBEAULT COHOMOLOGY OF SOLVMANIFOLDS [PDF]
Transformation Groups, 2016 23 pages; to appear in Transformation ...
CONSOLE, Sergio +2 more
openaire +2 more sources
Cohomologies of deformations of solvmanifolds and closedness of some properties [PDF]
, 2013 We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes.
Kasuya, Hisashi, Angella, Daniele
core
Hypercomplex almost abelian solvmanifolds
, 2022 We give a characterization of almost abelian Lie groups carrying left invariant hypercomplex structures and we show that the corresponding Obata connection is always flat.
Andrada, Adrián, Barberis, María Laura
core
Homotopy minimal periods for maps of three-dimensional solvmanifolds [PDF]
, 2008 A natural number m is called a homotopy minimal period of a map f:X→X if every map g homotopic to f has periodic points of minimal period m. In this paper we give a description for the sets of homotopy minimal periods of maps of all compact solvmanifolds
Marzantowicz, Wacław +2 more
core +1 more source