On a class of projectively flat metrics with constant flag curvature

Z. Shen; G. Civi Yildirim

doi:10.4153/CJM-2008-021-1

On a class of projectively flat metrics with constant flag curvature

Z. Shen^*
, G. Civi Yildirim

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Indiana University-Purdue University Indianapolis

Araştırma çıktısı: Dergi yayını › Makale › Hakem

60 Atıf (Scopus)

Özet

In this paper, we find equations that characterize locally projectively flat Finsler metrics in the form F = (α + β)²/α, where α = √a_ijyⁱy^j is a Riemannian metric and β = b_iyⁱ is a 1-form. Then we completely determine the local structure of those with constant flag curvature.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	443-456
Sayfa sayısı	14
Dergi	Canadian Journal of Mathematics
Hacim	60
Basın numarası	2
DOI'lar	https://doi.org/10.4153/CJM-2008-021-1
Yayın durumu	Yayınlandı - Nis 2008

Belgeye Erişim

10.4153/CJM-2008-021-1

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{deb957a12151478a909507625dd87ea6,

title = "On a class of projectively flat metrics with constant flag curvature",

abstract = "In this paper, we find equations that characterize locally projectively flat Finsler metrics in the form F = (α + β)2/α, where α = √aijyiyj is a Riemannian metric and β = biyi is a 1-form. Then we completely determine the local structure of those with constant flag curvature.",

author = "Z. Shen and Yildirim, \{G. Civi\}",

year = "2008",

month = apr,

doi = "10.4153/CJM-2008-021-1",

language = "English",

volume = "60",

pages = "443--456",

journal = "Canadian Journal of Mathematics",

issn = "0008-414X",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - On a class of projectively flat metrics with constant flag curvature

AU - Shen, Z.

AU - Yildirim, G. Civi

PY - 2008/4

Y1 - 2008/4

N2 - In this paper, we find equations that characterize locally projectively flat Finsler metrics in the form F = (α + β)2/α, where α = √aijyiyj is a Riemannian metric and β = biyi is a 1-form. Then we completely determine the local structure of those with constant flag curvature.

AB - In this paper, we find equations that characterize locally projectively flat Finsler metrics in the form F = (α + β)2/α, where α = √aijyiyj is a Riemannian metric and β = biyi is a 1-form. Then we completely determine the local structure of those with constant flag curvature.

UR - https://www.scopus.com/pages/publications/42549131956

U2 - 10.4153/CJM-2008-021-1

DO - 10.4153/CJM-2008-021-1

M3 - Article

AN - SCOPUS:42549131956

SN - 0008-414X

VL - 60

SP - 443

EP - 456

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

IS - 2

ER -

On a class of projectively flat metrics with constant flag curvature

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap