The Isoperimetric Inequality in Steady Ricci Solitons
نویسندگان
چکیده
The author proves that the isoperimetric inequality on graphic curves over circle or hyperplanes \({\mathbb{S}^{n - 1}}\) is satisfied in cigar steady soliton and Bryant soliton. Since both of them are Riemannian manifolds with warped product metric, utilize result Guan-Li-Wang to get his conclusion. For sake structure, believes geometric restrictions for which holds naturally Ricci solitons.
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2022
ISSN: ['0252-9599', '1572-9133', '1860-6261']
DOI: https://doi.org/10.1007/s11401-022-0308-7