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52565

A NEW MEASURE FOR THE STABILITY OF HYPERSURFACES IN THE N- DIMENSIONAL EUCLIDEAN SPACE

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Last updated: 04 Jan 2025

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Abstract

A new measure of stability on hypersurfaces in En is introduced.  It is the integral £ (f) = ∫M H1 Hn-2 dσ where H1 is the ith mean curvature of the hypersurface M. The general conditions for the stability of M under normal deformations are found. The stability on M under II- infinitismal and III-infinitismal deformations and the stability of M under the normal deformations which admit the relation
δ II =1/2 (n-1) H1 δ I are also discussed.

DOI

10.21608/amme.1986.52565

Authors

First Name

Mohamed

Last Name

Abd El - Megid

MiddleName

Afwat

Affiliation

Military Technical College, Kobry El - Kobba, Cairo.

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Volume

1

Article Issue

2nd Conference on Applied Mechanical Engineering.

Related Issue

7959

Issue Date

1986-05-01

Receive Date

2019-10-08

Publish Date

1986-05-01

Page Start

35

Page End

44

Print ISSN

2636-4352

Online ISSN

2636-4360

Article File

AMME_Volume 1_Issue 2nd Conference on Applied Mechanical Engineering._Pages 35-44.pdf

PDF . 1.6MB

Link

https://amme.journals.ekb.eg/article_52565.html

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https://amme.journals.ekb.eg/service?article_code=52565

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56

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Original Article

Type Code

831

Publication Type

Journal

Publication Title

The International Conference on Applied Mechanics and Mechanical Engineering

Publication Link

https://amme.journals.ekb.eg/

MainTitle

A NEW MEASURE FOR THE STABILITY OF HYPERSURFACES IN THE N- DIMENSIONAL EUCLIDEAN SPACE

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Article

Created At

22 Jan 2023