Asset Details
Do you wish to reserve the book?
Parallel Hypersurfaces in Esup.4 and Their Applications to Rotational Hypersurfaces
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Parallel Hypersurfaces in Esup.4 and Their Applications to Rotational Hypersurfaces
Do you wish to request the book?
Parallel Hypersurfaces in Esup.4 and Their Applications to Rotational Hypersurfaces
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Parallel Hypersurfaces in Esup.4 and Their Applications to Rotational Hypersurfaces
2025
Overview
This study explores parallel hypersurfaces in four-dimensional Euclidean space E[sup.4] , deriving explicit expressions for their Gaussian and mean curvatures in terms of the curvature functions of the base hypersurface. We identify conditions under which these parallel hypersurfaces are flat or minimal. The theory is applied to several key hypersurfaces, including rotational hypersurfaces, hyperspheres, catenoidal hypersurfaces, and helicoidal hypersurfaces, with detailed curvature computations and visualizations. These results not only extend classical curvature relations into higher-dimensional spaces but also offer valuable insights into curvature transformations, with practical applications in both theoretical and computational geometry.
Publisher
MDPI AG
Subject
