DOI

We show that if a Riemannian manifold satisfies (3,3)-bipolar comparisons and has an open flat subset then it is flat. The same holds for a version of MTW where the perpendicularity is dropped. In particular we get that the (3,3)-bipolar comparison is strictly stronger than the Alexandrov comparison.
Язык оригиналаанглийский
Страницы (с-по)347-351
Число страниц5
ЖурналGeometriae Dedicata
Том203
Номер выпуска1
DOI
СостояниеОпубликовано - 1 дек 2019

ID: 126316067