On Einstein Finsler metrics

Semail Ülgen; Esra Sengelen Sevim; Irma Hacinliyan

doi:10.1142/S0129167X21500634

On Einstein Finsler metrics

Semail Ülgen^*, Esra Sengelen Sevim, Irma Hacinliyan

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.

Orijinal dil	İngilizce
Makale numarası	2150063
Dergi	International Journal of Mathematics
Hacim	32
Basın numarası	9
DOI'lar	https://doi.org/10.1142/S0129167X21500634
Yayın durumu	Yayınlandı - Ağu 2021

Bibliyografik not

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Belgeye Erişim

10.1142/S0129167X21500634

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On Einstein Finsler metrics",

abstract = "In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.",

keywords = "(α, β) -metrics, Einstein metrics, Ricci curvature, Ricci-flat",

author = "Semail {\"U}lgen and Sevim, {Esra Sengelen} and Irma Hacinliyan",

note = "Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

month = aug,

doi = "10.1142/S0129167X21500634",

language = "English",

volume = "32",

journal = "International Journal of Mathematics",

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publisher = "World Scientific Publishing Co. Pte Ltd",

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AU - Ülgen, Semail

AU - Sevim, Esra Sengelen

AU - Hacinliyan, Irma

PY - 2021/8

Y1 - 2021/8

N2 - In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.

AB - In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.

KW - (α, β) -metrics

KW - Einstein metrics

KW - Ricci curvature

KW - Ricci-flat

UR - http://www.scopus.com/inward/record.url?scp=85108709490&partnerID=8YFLogxK

U2 - 10.1142/S0129167X21500634

DO - 10.1142/S0129167X21500634

M3 - Article

AN - SCOPUS:85108709490

SN - 0129-167X

VL - 32

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 9

M1 - 2150063

ER -

On Einstein Finsler metrics

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap