Blar i Institutt for datateknologi og informatikk på tidsskrift "Archivum mathematicum"
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On local isometric immersions into complex and quaternionic projective spaces
(Peer reviewed; Journal article, 2011)We will prove that if an open subset of CPn is isometrically immersed into CPm, with m < (4/3)n−2/3, then the image is totally geodesic.We will also prove that if an open subset of HPn isometrically immersed into HPm, with ... -
On those ordinary differential equations that are solved exactly by the improved Euler method
(Journal article; Peer reviewed, 2013)As a numerical method for solving ordinary differential equations y'=f(x,y), the improved Euler method is not assumed to give exact solutions. In this paper we classify all cases where this method gives the exact solution ...