Negative Ricci curvature on some non-solvable Lie groups II
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02310-z
Abstract: We construct many examples of Lie groups admitting a left-invariant metric of negative Ricci curvature. We study Lie algebras which are semidirect products $${\mathfrak {l}}= ({\mathfrak {a}} \oplus {\mathfrak {u}} ) < imes {\mathfrak {n}}$$… read more here.
Keywords: mathfrak; ricci curvature; lie groups; mathfrak mathfrak ... See more keywords
Negative Ricci curvature on some non-solvable Lie groups
Sign Up to like & getrecommendations! Published in 2017 at "Geometriae Dedicata"
DOI: 10.1007/s10711-016-0185-x
Abstract: We show that for any non-trivial representation $$(V, \pi )$$(V,π) of $$\mathfrak {u}(2)$$u(2) with the center acting as multiples of the identity, the semidirect product $$\mathfrak {u}(2) \ltimes _\pi V$$u(2)⋉πV admits a metric with negative… read more here.
Keywords: metric negative; negative ricci; solvable lie; ricci curvature ... See more keywords
On complete Finsler spaces of constant negative Ricci curvature
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DOI: 10.1142/s0219887820500413
Abstract: Here, using the projectively invariant pseudo-distance and Schwarzian derivative, it is shown that every connected complete Finsler space of the constant negative Ricci scalar is reversible. In par... read more here.
Keywords: negative ricci; finsler spaces; complete finsler; constant negative ... See more keywords
The isometry groups of compact manifolds with almost negative Ricci curvature
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DOI: 10.2748/tmj/1537495353
Abstract: We estimate the order of the isometry groups of compact manifolds with negative Ricci curvature in terms of geometric quantities: the sectional curvature, the Ricci curvature, the diameter, and the injectivity radius. read more here.
Keywords: compact manifolds; isometry groups; ricci curvature; groups compact ... See more keywords