Results 81 to 90 of about 444 (112)

Uniform distribution in solvmanifolds

Advances in Mathematics, 1971
Auslander, L., Brezin, J.
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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.
Daniele Angella, Hisashi Kasuya
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The Ricci flow on solvmanifolds of real type

Advances in Mathematics, 2019
We show that for any solvable Lie group of real type, any homogeneous Ricci flow solution converges in Cheeger-Gromov topology to a unique non-flat solvsoliton, which is independent of the initial left-invariant metric.
Ramiro Lafuente, Christoph Böhm
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Three-step Harmonic Solvmanifolds

Geometriae Dedicata, 2003
The authors define a solvmanifold as a connected and simply connected solvable Lie group together with a left-invariant metric. Damek-Ricci spaces are examples of solvmanifolds. These spaces appeared as counter-examples for the Lichnerowicz conjecture, namely, that every harmonic Riemannian manifold would be locally isometric to a two-point homogeneous
Tracy Payne, Chal Benson, Gail Ratcliff
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Rank-one Einstein solvmanifolds of dimension 7 [PDF]

Differential Geometry and Its Applications, 2003
We use a variational approach to determine explicitly all the 7-dimensional rank-one Einstein solvmanifolds. We prove that each one of the 34 nilpotent Lie algebras of dimension 6 admits a rank-one solvable extension which can be endowed with an Einstein
Cynthia Will
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The mean curvature flow on solvmanifolds

Boletin De La Sociedad Matematica Mexicana
This work is a survey of the most relevant background material to motivate and understand the construction and classification of translating solutions to mean curvature flow on a family of solvmanifolds. We introduce the mean curvature flow and some known results in the field.
Raquel Perales, Gabriela P Ovando
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VAISMAN STRUCTURES ON LCK SOLVMANIFOLDS

Tsukuba Journal of Mathematics, 2023
An LCK manifold is a Hermitian manifold \((M,g,J)\) such that the fundamental \(2\)-form \(\Omega\), defined by \(\Omega(X,Y)=g(X,JY)\), satisfies the condition \(d\Omega= \omega\wedge \Omega\) for a closed 1-form \(\omega\). An LCK manifold is said to be Vaisman if \(\omega\) is parallel.
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FLOWS ON COMPACT SOLVMANIFOLDS

Mathematics of the USSR-Sbornik, 1985
Translation from Mat. Sb., Nov. Ser. 123(165), No.4, 549-558 (Russian) (1984; Zbl 0545.28013).
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Model solvmanifolds for Lefschetz and Nielsen theories

Quaestiones Mathematicae, 2002
In this paper we construct a class of solvmanifolds and certain (diagonal type) self maps on them. These solvmanifolds and their maps serve firstly as rich source of examples. Secondly they serve as models for Nielsen theory in the sense that any map f : S → S of an arbitrary compact solvmanifold S, has the same Lefschetz and Nielsen theory ...
Philip R Heath
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A Construction of Einstein Solvmanifolds not Based on Nilsolitons [PDF]

Transformation Groups
We construct indefinite Einstein solvmanifolds that are standard, but not of pseudo-Iwasawa type. Thus, the underlying Lie algebras take the form $\mathfrak{g}\rtimes_D\mathbb{R}$, where $\mathfrak{g}$ is a nilpotent Lie algebra and $D$ is a nonsymmetric
Diego Conti, Federico A Rossi, Romeo Segnan Dalmasso   +2 more
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