Results 21 to 30 of about 146 (116)
On Some Structural Components of Nilsolitons
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, we study nilpotent Lie algebras that admit nilsoliton metric with simple pre‐Einstein derivation. Given a Lie algebra η, we would like to compute as much of its structure as possible. The structural components we consider in this study are the structure constants, the index, and the rank of the nilsoliton derivations.
Hulya Kadioglu, Mustafa Inc
wiley +1 more source
Classification of 6-dimensional splittable flat solvmanifolds [PDF]
, 2022 A flat solvmanifold is a compact quotient $\Gamma\backslash G$ where $G$ is a simply-connected solvable Lie group endowed with a flat left invariant metric and $\Gamma$ is a lattice of $G$.
Tolcachier, Alejandro
core +1 more source
A six-dimensional compact symplectic solvmanifold without Kähler structures [PDF]
, 1996 International audienceThe purpose of this paper is to construct a compact symplectic (non-nilpotent) solvmanifold $M^{6} = \Gamma / G$ of dimension $6$ which does not admit Kähler structures.
Saralegui, Martin +3 more
core +2 more sources
Kahler Structures on Compact Solvmanifolds [PDF]
Proceedings of the American Mathematical Society, 1990 In a previous paper, the authors proved that the only compact nilmanifolds Γ
Chal Benson, Carolyn S. Gordon
openaire +2 more sources
$$G_2$$-structures on flat solvmanifolds
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 19 pages, 2 ...
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The Anosov theorem for exponential solvmanifolds [PDF]
Pacific Journal of Mathematics, 1995 The authors exhibit a class \({\mathcal N} {\mathcal R}\) of compact solvmanifolds such that for any \(S \in {\mathcal N} {\mathcal R}\) and any selfmap \(f : S \to S\) the Nielsen number \(N(f)\) equals the absolute value \(|L(f) |\) of the Lefschetz number.
Keppelmann, Edward C. +1 more
openaire +2 more sources
Bott–Chern cohomology of solvmanifolds [PDF]
Annals of Global Analysis and Geometry, 2017 We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology. We are especially aimed at studying the Bott-Chern cohomology of special classes of solvmanifolds, namely, complex parallelizable solvmanifolds and solvmanifolds of splitting type.
Angella, Daniele, Kasuya, Hisashi
openaire +2 more sources
Hypercomplex Almost Abelian Solvmanifolds
The Journal of Geometric Analysis, 2023 Minor ...
Adrián Andrada, María Laura Barberis
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Examples of solvmanifolds without LCK structures
Complex Manifolds, 2018 The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
doaj +1 more source
A structure theorem of compact complex parallelizable pseudo-Kahler solvmanifolds [PDF]
, 2006 In this paper, we prove that the Mostow fibration of a compact complex parallelizable pseudo-K¨ahler solvmanifold is a complex torus bundle over a complex ...
Yamada, Takumi
core +1 more source