Isometric immersions into products of space forms

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Abstract

We extend the theorem of B. Daniel about the existence and uniqueness of immersions into S n ×RorH n ×R
Sn×RorHn×R to the Riemannian product of two space forms. More precisely, we prove the existence and uniqueness of an isometric immersion of a Riemannian manifold into the Riemannian product of two space forms.
Original languageEnglish
Pages (from-to)1-8
JournalGeometriae Dedicata
Volume151
Issue number1
DOIs
Publication statusPublished - 1 Apr 2011
Externally publishedYes

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