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

Abstract

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.

Keywords

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

Supporting Institution

TÜBİTAK

Project Number

919B012216176

Thanks

Verdiği desktlerden ötürü TÜBİTAK'a teşekkürlerimizi saygılarımızla bildiririz.

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

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

Muhammed Burak Gül This is me
0009-0002-9144-4258
Türkiye

Publication Date

November 30, 2023

Submission Date

June 14, 2023

Acceptance Date

September 13, 2023

Published in Issue

Year 2023 Volume: 1 Number: 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, and 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 (November 1, 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 and M. B. Gül, “A Geometrical Interpretation of Production Functions in Economics in terms of Second Fundamental Form”, BJS, vol. 1, no. 2, pp. 65–72, Nov. 2023, [Online]. Available: 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 (November 1, 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, and Muhammed Burak Gül. “A Geometrical Interpretation of Production Functions in Economics in Terms of Second Fundamental Form”. Bozok Journal of Science, vol. 1, no. 2, Nov. 2023, pp. 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]. 2023 Nov. 1;1(2):65-72. Available from: https://izlik.org/JA46LT83PL

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

Abstract

Keywords

Abstract

Supporting Institution

Project Number

Thanks

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

IZ

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