A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form

Muhittin Evren Aydın; Muhammed Burak Gül

EN

A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form

Öz

The two well-known production models in microeconomics are Cobb-Douglas and ACMS production functions. We study such production functions with 2-inputs in terms of the differential-geometrical properties of their graphs. In particular, we investigate the production functions when their graphs have the second fundamental forms of constant length. We obtain that the ACMS production surface has the second fundamental forms of constant length if and only if the ACMS production function is a perfect substitute. Furthermore, in the case of Cobb-Douglas production function, we provide a non-existence result.

Anahtar Kelimeler

Cobb-Douglas production function, ACMS production function, Production surface, second fundamental form

Destekleyen Kurum

TÜBİTAK

Proje Numarası

919B012216176

Teşekkür

Verdiği desktlerden ötürü TÜBİTAK'a teşekkürlerimizi saygılarımızla bildiririz.

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebirsel ve Diferansiyel Geometri

Bölüm

Araştırma Makalesi

Yazarlar

Muhittin Evren Aydın ^*
0000-0001-9337-8165
Türkiye

Muhammed Burak Gül Bu kişi benim
0009-0002-9144-4258
Türkiye

Yayımlanma Tarihi

30 Kasım 2023

Gönderilme Tarihi

14 Haziran 2023

Kabul Tarihi

13 Eylül 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 1 Sayı: 2

IZ

https://izlik.org/JA46LT83PL

APA

Aydın, M. E., & Gül, M. B. (2023). A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form. Bozok Journal of Science, 1(2), 65-72. https://izlik.org/JA46LT83PL

AMA

1.Aydın ME, Gül MB. A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form. BJS. 2023;1(2):65-72. https://izlik.org/JA46LT83PL

Chicago

Aydın, Muhittin Evren, ve Muhammed Burak Gül. 2023. “A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form”. Bozok Journal of Science 1 (2): 65-72. https://izlik.org/JA46LT83PL.

EndNote

Aydın ME, Gül MB (01 Kasım 2023) A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form. Bozok Journal of Science 1 2 65–72.

IEEE

[1]M. E. Aydın ve M. B. Gül, “A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form”, BJS, c. 1, sy 2, ss. 65–72, Kas. 2023, [çevrimiçi]. Erişim adresi: https://izlik.org/JA46LT83PL

ISNAD

Aydın, Muhittin Evren - Gül, Muhammed Burak. “A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form”. Bozok Journal of Science 1/2 (01 Kasım 2023): 65-72. https://izlik.org/JA46LT83PL.

JAMA

1.Aydın ME, Gül MB. A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form. BJS. 2023;1:65–72.

MLA

Aydın, Muhittin Evren, ve Muhammed Burak Gül. “A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form”. Bozok Journal of Science, c. 1, sy 2, Kasım 2023, ss. 65-72, https://izlik.org/JA46LT83PL.

Vancouver

1.Muhittin Evren Aydın, Muhammed Burak Gül. A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form. BJS [Internet]. 01 Kasım 2023;1(2):65-72. Erişim adresi: https://izlik.org/JA46LT83PL

A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form

Öz

Anahtar Kelimeler

Öz

Destekleyen Kurum

Proje Numarası

Teşekkür

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

Yayımlanma Tarihi

Gönderilme Tarihi

Kabul Tarihi

Yayımlandığı Sayı

IZ

Kaynak Göster