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2010•Tohoku Mathematical JournalOpen access

Non existence of homogeneous contact metric manifolds of non positive curvature

Antonio Lotta

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Abstract

We prove that there exist no simply connected homogeneous contact metric manifolds having nonpositive sectional curvature.

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What this paper is about

We prove that there exist no simply connected homogeneous contact metric manifolds having nonpositive sectional curvature.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We prove that there exist no simply connected homogeneous contact metric manifolds having nonpositive sectional curvature.

Key concepts: Mathematics, Homogeneous, Metric (unit), Curvature, Mathematical analysis, Pure mathematics, Geometry, Combinatorics

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