Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (1)

Search Parameters:
Keywords = Bianchi–Cartan–Vranceasu spaces

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
64 pages, 661 KB  
Review
A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
by Bang-Yen Chen
Axioms 2019, 8(4), 120; https://doi.org/10.3390/axioms8040120 - 30 Oct 2019
Cited by 2 | Viewed by 4521
Abstract
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden–Bortolotti connection. From submanifold point of view, parallel submanifolds are the simplest Riemannian submanifolds next to totally geodesic ones. [...] Read more.
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden–Bortolotti connection. From submanifold point of view, parallel submanifolds are the simplest Riemannian submanifolds next to totally geodesic ones. Parallel submanifolds form an important class of Riemannian submanifolds since extrinsic invariants of a parallel submanifold do not vary from point to point. In this paper, we provide a comprehensive survey on this important class of submanifolds. Full article
(This article belongs to the Special Issue Geometric Analysis and Mathematical Physics)
Back to TopTop