Results 81 to 90 of about 168 (112)

Einstein solvmanifolds and nilsolitons

, 2008
The purpose of the present expository paper is to give an account of the recent progress and present status of the classification of solvable Lie groups admitting an Einstein left invariant Riemannian metric, the only known examples so far of noncompact Einstein homogeneous manifolds.
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Fibre techniques in nielsen periodic point theory on solmanifolds III: Calculations

, 2004
This third paper of the series gives the necessarily lengthy illustrations of the main results of the first two, delayed until now for reasons of space.
Keppelmann, Edward C., Heath, Philip R.
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Homotopy minimal periods for NR-solvmanifolds maps

, 2004
A natural number m is called the homotopy minimal period of a map f:X→X if every map g homotopic to f will have periodic points of minimal period m. In this paper we give a complete description of the sets of homotopy minimal periods of a map of compact ...
Jezierski, J., Kedra, J., Marzantowicz, W.   +2 more
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Classification of 6-dimensional splittable flat solvmanifolds

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
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Uniform distribution in solvmanifolds

Advances in Mathematics, 1971
Auslander, L., Brezin, J.
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On the spectrum of a compact solvmanifold

, 1973
Roger Howe
core   +1 more source

Function theory on metabelian solvmanifold

Journal of Functional Analysis, 1972
AbstractThe Laplace operators for metabelian solvmanifolds are used to describe certain spaces of C∞ functions on metabelian solvmanifolds of interest in harmonic analysis.
exaly   +3 more sources

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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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
Benson, Chal, Payne, Tracy L., Ratcliff, Gail   +2 more
openaire   +1 more source

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).
openaire   +3 more sources