e study the classification of area-stationary and stable C2 regular surfaces in the space of the rigid motions of the Minkowski plane E(1, 1), equipped with its subriemannian structure. We construct examples of area-stationary surfaces that are not foliated by subriemannian geodesics. We also prove that there exist an infinite number of C2 area-stationary surfaces with a singular curve. Finally we show the stability of C2 area-stationary surfaces foliated by subriemannian geodesics.

On the classification of complete area-stationary and stable surfaces in the subriemannian Sol manifold / M. Galli. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - STAMPA. - 271:(2014), pp. 143-157. [10.2140/pjm.2014.271.143]

On the classification of complete area-stationary and stable surfaces in the subriemannian Sol manifold

GALLI, MATTEO
2014

Abstract

e study the classification of area-stationary and stable C2 regular surfaces in the space of the rigid motions of the Minkowski plane E(1, 1), equipped with its subriemannian structure. We construct examples of area-stationary surfaces that are not foliated by subriemannian geodesics. We also prove that there exist an infinite number of C2 area-stationary surfaces with a singular curve. Finally we show the stability of C2 area-stationary surfaces foliated by subriemannian geodesics.
2014
On the classification of complete area-stationary and stable surfaces in the subriemannian Sol manifold / M. Galli. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - STAMPA. - 271:(2014), pp. 143-157. [10.2140/pjm.2014.271.143]
M. Galli
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/384349
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 8
social impact