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29914

WARPED PRODUCT OF RIEMANNIAN MANIFOLDS

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Last updated: 22 Jan 2023

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Abstract

ABSTRACT: The sectional curvature of the Riemannian warped product mani-fold is derived in terms of the original ones. The secand fundemental form and totally geodesic submanifolds in warped product manifolds are introduced. We study the important example RXfR (warped plane) as an application. The Livi-civita connection on RXfR is derived. Morever, we discuss its godesics and Gauss curvarture with specific  forms of f (x). The concepts of coloring and folding by curvature are introduced on the warped plane. Illustrating figures are given.

DOI

10.21608/icmep.2006.29914

Keywords

warped product, Curvature, Riemannian metric, Riemannian connection, geodesics

Authors

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M.

Last Name

BELTAGY

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First Name

S.

Last Name

SHENAWY

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Volume

3

Article Issue

International Conference on Engineering Mathematics and Physics (ICMEP-3)

Related Issue

5208

Issue Date

2006-05-01

Receive Date

2019-04-10

Publish Date

2006-05-01

Page Start

1

Page End

13

Print ISSN

2636-431X

Online ISSN

2636-4328

Article File

ICMEP_Volume 3_Issue International Conference on Engineering Mathematics and Physics (ICMEP-3)_Pages 1-13.pdf

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Link

https://icmep.journals.ekb.eg/article_29914.html

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https://icmep.journals.ekb.eg/service?article_code=29914

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11

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Original Article

Type Code

830

Publication Type

Journal

Publication Title

The International Conference on Mathematics and Engineering Physics

Publication Link

https://icmep.journals.ekb.eg/

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Article

Created At

22 Jan 2023