Classification of Four-Dimensional CR Submanifolds of the Homogenous Nearly Kähler S3×S3 Which Almost Complex Distribution Is Almost Product Orthogonal on Itself
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DOI: 10.3390/math13162638
Abstract: The product manifold S3×S3, which belongs to the homogenous six-dimensional nearly Kähler manifolds, admits two structures, the almost complex structure J and the almost product structure P. The investigation of embeddings of different classes of… read more here.
Keywords: almost product; product; four dimensional; almost complex ... See more keywords
A Reifenberg type characterization for m-dimensional C^1-submanifolds of R^n
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DOI: 10.5186/aasfm.2019.4443
Abstract: We provide a Reifenberg type characterization for $m$-dimensional $C^1$-submanifolds of $\mathbb R^n$. This characterization is also equivalent to Reifenberg-flatness with vanishing constant combined with suitably converging approximating $m$-planes. Moreover, a sufficient condition can be given… read more here.
Keywords: dimensional submanifolds; characterization dimensional; reifenberg type; type characterization ... See more keywords