Articles with "metrics constant" as a keyword



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Projectively Flat Singular Square Metrics with Constant Flag Curvature

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Published in 2020 at "Acta Mathematica Sinica, English Series"

DOI: 10.1007/s10114-020-9310-8

Abstract: In this paper, we study and characterize locally projectively flat singular square metrics with constant flag curvature. First, we obtain the sufficient and necessary conditions that singular square metrics are locally projectively flat. Furthermore, we… read more here.

Keywords: flat singular; metrics constant; singular square; square metrics ... See more keywords
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On some classes of projectively flat Finsler metrics with constant flag curvature

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Published in 2020 at "Differential Geometry and Its Applications"

DOI: 10.1016/j.difgeo.2019.101579

Abstract: Abstract In this paper, we give the equivalent PDEs for projectively flat Finsler metrics with constant flag curvature defined by a Euclidean metric and two 1-forms. Furthermore, we construct some classes of new projectively flat… read more here.

Keywords: flat finsler; finsler metrics; metrics constant; constant flag ... See more keywords

Nonuniqueness of Conformal Metrics With Constant Q-curvature

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Published in 2019 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnz045

Abstract: We establish several nonuniqueness results for the problem of finding complete conformal metrics with constant (4th-order) $Q$-curvature on compact and noncompact manifolds of dimension $\geq 5$. Infinitely many branches of metrics with constant $Q$-curvature, but… read more here.

Keywords: nonuniqueness conformal; conformal metrics; metrics constant; infinitely many ... See more keywords