TECHNICAL PAPERS
Jul 15, 2002

Application of Gauss-Bonnet Theorem to Geodesy

Publication: Journal of Surveying Engineering
Volume 128, Issue 3

Abstract

The Gauss-Bonnet theorem was studied and applied to a geodesic triangle and the results given. The aim of this paper is to take a subject whose results are given mostly superficial treatment and present a more clear and easily understandable introductory treatment for geodesy education.

Get full access to this article

View all available purchase options and get full access to this article.

References

Hacısalihoğlu, H., and Sabuncuoğlu, A. (1983). Diferansiyel Geometri, 1. Baskı, Milli Egˇitim Basımevi, Istanbul, Turkey.
Karadeniz, A. (1982). Yüksek Matematik, Cilt III, Çağlayan Kitabevi, Istanbul, Turkey.
Lipschutz, M. M. (1969). Theory and problems of differential geometry, McGraw-Hill, New York.
Öztan, O., Maktav, D., and Külür, S. (1988). Jeodezi ve Fotogrametri Mühendisliğinde Diferansiyel Geometri, Sayı:1370, Istanbul Teknik Üniversitesi Matbaası, Gümüşsuyu, Istanbul, Turkey.
Prakash, N. (1981). Differential geometry: An integrated approach, McGraw-Hill, New Delhi, India.
Spivak, M. (1979). A comprehensive introduction to differential geometry, 2nd Ed., Vol. II, Publish or Perish, Bonn, Germany.
Struik, J. D. (1988). Lectures on classical differential geometry, 2nd Ed., Dover, New York.
Thorpe, J. A. (1985). Elementary topics in differential geometry, Springer, New York.
Willmore, T. J. (1959). An introduction to differential geometry, Clarendon, Oxford, U.K.

Information & Authors

Information

Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 128Issue 3August 2002
Pages: 125 - 135

History

Received: Jul 7, 2000
Accepted: Sep 13, 2001
Published online: Jul 15, 2002
Published in print: Aug 2002

Permissions

Request permissions for this article.

Authors

Affiliations

Gaye Kızılsu
Associate Professor, Civil Engineering Faculty, Surveying Dept., Istanbul Technical Univ., 80626 Ayazağa, Istanbul, Turkey.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share