Geometry of a surface in Riemannian 3-manifold corresponding to a smooth autonomous dynamical system
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we identify a smooth autonomous dynamical on a two-dimensional manifold with an exterior differential system (Sigma,I), where Sigma is a three-dimensional Riemannian manifold and I is the differential ideal generated by the contact forms on Sigma. We investigate the intrinsic and the extrinsic geometry of a surface in Sigma and show that for a particular dynamical system Sigma admits a totally geodesic surface determined by a constant value of a coordinate function. We also exhibit that such a surface may define intrinsically nonflat minimal surface which is not necessarily totally geodesic.
Açıklama
Anahtar Kelimeler
Dynamical Systems, Exterior Differential Systems, Minimal Surfaces, Totally Geodesic Surfaces, Vector-Fields, Tangent
Kaynak
International Journal Of Geometric Methods In Modern Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
19
Sayı
12
