On the total torsion of certain nonclosed sphere curves

Stephen M. Zemyan

doi:10.1017/S0004972700026289

On the total torsion of certain nonclosed sphere curves

Stephen M. Zemyan

Penn State Mont Alto

Research output: Contribution to journal › Article › peer-review

Abstract

In this note, we establish some results concerning the total torsion and the total absolute torsion of certain non-closed stereographically projected analytic curves. The method of proof involves only elementary techniques of integration, a periodicity argument and Liouville's Theorem.

Original language	English (US)
Pages (from-to)	39-47
Number of pages	9
Journal	Bulletin of the Australian Mathematical Society
Volume	36
Issue number	1
DOIs	https://doi.org/10.1017/S0004972700026289
State	Published - Aug 1987

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1017/S0004972700026289

Cite this

@article{60011b97d037480495e57845b174152f,

title = "On the total torsion of certain nonclosed sphere curves",

abstract = "In this note, we establish some results concerning the total torsion and the total absolute torsion of certain non-closed stereographically projected analytic curves. The method of proof involves only elementary techniques of integration, a periodicity argument and Liouville's Theorem.",

author = "Zemyan, \{Stephen M.\}",

year = "1987",

month = aug,

doi = "10.1017/S0004972700026289",

language = "English (US)",

volume = "36",

pages = "39--47",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - On the total torsion of certain nonclosed sphere curves

AU - Zemyan, Stephen M.

PY - 1987/8

Y1 - 1987/8

N2 - In this note, we establish some results concerning the total torsion and the total absolute torsion of certain non-closed stereographically projected analytic curves. The method of proof involves only elementary techniques of integration, a periodicity argument and Liouville's Theorem.

AB - In this note, we establish some results concerning the total torsion and the total absolute torsion of certain non-closed stereographically projected analytic curves. The method of proof involves only elementary techniques of integration, a periodicity argument and Liouville's Theorem.

UR - https://www.scopus.com/pages/publications/84974509625

UR - https://www.scopus.com/pages/publications/84974509625#tab=citedBy

U2 - 10.1017/S0004972700026289

DO - 10.1017/S0004972700026289

M3 - Article

AN - SCOPUS:84974509625

SN - 0004-9727

VL - 36

SP - 39

EP - 47

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 1

ER -

On the total torsion of certain nonclosed sphere curves

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this