Contact seaweeds
نویسندگان
چکیده
A ($2k+1$)$-$dimensional contact Lie algebra is one which admits a one-form $\varphi$ such that $\varphi \wedge (d\varphi)^k\ne0$. Such algebras have index one, but this not generally sufficient condition. Here we show index-one type-A seaweed are necessarily contact. Examples, together with method for their explicit construction, provided.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2022
ISSN: ['1945-5844', '0030-8730']
DOI: https://doi.org/10.2140/pjm.2022.320.45