The Scalar Curvature of a Projectively Invariant Metric Defined by the Kernel Function

Yadong WU; Hua ZHANG

doi:https://doi.org/10.36890/iejg.1022605

Makale detayları

The Scalar Curvature of a Projectively Invariant Metric Defined by the Kernel Function

Yazarlar:

Yadong WU | Hua ZHANG

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.20-29

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000471465

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.1022605

Özet:

 

Considering a projectively invariant metric ττ\tau defined by the kernel function on a strongly convex bounded domain Ω⊂RnΩ⊂Rn\Omega\subset\mathbb{R}^n,
we study the asymptotic expansion of the scalar curvature with respect to the distance function, and use the Fubini-Pick invariant to describe the second term in the expansion. This asymptotic expansion implies that if n≥3n≥3n\geq 3 and (Ω,τ)(Ω,τ)(\Omega,\tau ) has constant scalar curvature, then the convex domain is projectively equivalent to a ball.

Makale detayları

The Scalar Curvature of a Projectively Invariant Metric Defined by the Kernel Function

Yazarlar: Yadong WU | Hua ZHANG

Yayıncı: Kazım İLARSLAN

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.20-29

Belge Tipi: Makale

Yayın Tarihi: 4/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000471465

Sıklık: İki Yıllık

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.1022605

Sayı

Yazarlar:

Yadong WU | Hua ZHANG

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.20-29

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000471465

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.1022605