Results 61 to 70 of about 146 (116)
Isometry groups of Riemannian solvmanifolds
, 1988 A simply connected solvable Lie group R R together with a left-invariant Riemannian metric g g is called a (simply connected) Riemannian solvmanifold. Two Riemannian solvmanifolds ( R ,
Carolyn S. Gordon, Edward N. Wilson
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Global regularity on 3-dimensional solvmanifolds [PDF]
Transactions of the American Mathematical Society, 1992 Let M M be any 3
Cygan, Jacek M., Richardson, Leonard F.
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Nielsen numbers of periodic maps on solvmanifolds
, 1992 Let f : M → M f:M \to M be a self-map of a solvmanifold M M . Then the Lefschetz number L ( f ) L(f) and the Nielsen number
Kyung Bai Lee
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Classification of compact complex homogeneous manifolds with pseudo-kählerian structures
, 2010 In this paper, we apply a modification theorem for a compact homogeneous solvmanifold to compact complex homogeneous manifolds with pseudo-kählerian structures.
Daniel Guan, Guan, Daniel
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Homotopy minimal periods for maps of three-dimensional solvmanifolds
, 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
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Explicit soliton for the laplacian co-flow on a solvmanifold
, 2020 We apply the general Ansatz proposed by Lauret (Rend Semin Mat Torino 74:55–93, 2016) for the Laplacian co-flow of invariant G 2-structures on a Lie group, finding an explicit soliton on a particular almost Abelian 7–manifold. Our methods and the example
Earp, Henrique N. Sá +1 more
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The classification of flat solvmanifolds [PDF]
Transactions of the American Mathematical Society, 1978 This paper contains a complete algebraic characterization of the fundamental groups of flat solvmanifolds. This characterization is in terms of finite integral representations of free abelian groups and the associated cohomology. A classification of compact flat solvmanifolds follows, and a list of all compact flat solvmanifolds of
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On the "Standard" Condition for Noncompact Homogeneous Einstein Spaces
, 2007 A nonflat Einstein solvmanifold (S, g) is said to be of standard type if in the associated metric Lie algebra s, the orthogonal complement a of the derived algebra is abelian.
Dorothee Schueth
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, 2010 We observed in our previous paper that all the complex structures on four-dimensional compact solvmanifolds, including tori, are left-invariant. In this paper we will give an example of a six-dimensional compact solvmanifold which admits a continuous ...
Hasegawa, Keizo
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Einstein solvmanifolds are standard [PDF]
Annals of Mathematics, 2010 We study Einstein manifolds admitting a transitive solvable Lie group of isometries (solvmanifolds). It is conjectured that these exhaust the class of noncompact homogeneous Einstein manifolds. J. Heber has showed that under certain simple algebraic condition called standard (i.e.
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