By applying suitable Liouville-type results, an appropriate parabolicity criterion, and a version of the Omori-Yau’s maximum principle for the drift Laplacian, we infer the uniqueness and nonexistence of complete spacelike translating solitons of the mean curvature flow in a Lorentzian product space has been studied.

Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density

Molica Bisci;
2023-01-01

Abstract

By applying suitable Liouville-type results, an appropriate parabolicity criterion, and a version of the Omori-Yau’s maximum principle for the drift Laplacian, we infer the uniqueness and nonexistence of complete spacelike translating solitons of the mean curvature flow in a Lorentzian product space has been studied.
2023
weighted Lorentzian product spaces
Bakry-Emery-Ricci tensor
drift Laplacian
´ f-mean curvature
mean curvature flow
spacelike translating solitons
Gaussian space
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/20.500.12078/28447
 Attenzione

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

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact