2018
DOI: 10.1007/s12220-018-9990-9
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Biconservative Submanifolds in $$\mathbb {S}^n\times \mathbb {R}$$ S n × R and $$\mathbb {H}^n\times \mathbb {R}$$ H n × R

Abstract: In this paper we study biconservative submanifolds in S n × R and H n × R with parallel mean curvature vector field and co-dimension 2. We obtain some necessary and sufficient conditions for such submanifolds to be conservative. In particular, we obtain a complete classification of 3-dimensional biconservative submanifolds in S 4 ×R and H 4 ×R with nonzero parallel mean curvature vector field. We also get some results for biharmonic submanifolds in S n × R and H n × R.MSC 2010: Primary: 53A10; Secondary: 53C40… Show more

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Cited by 18 publications
(15 citation statements)
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“…Despite efforts to address this global challenge, the path to a definitive, open-source, and shareable solution remains unclear. 37 Low-level programming frameworks like C, C++, and Visual Basic have historically been used for high-level component integration, but the skills and time resources required have made it difficult for CFs to get into this. The advent of LAB-VIEW as a gold standard for hardware control introduced a higher-level programming framework that may be an interesting alternative, offering developers an easier way to build user interfaces with ready-made software/interface controls and graphical programming language, and with a vast majority of components manufacturers that deliver quickly reusable example code.…”
Section: 24mentioning
confidence: 99%
“…Despite efforts to address this global challenge, the path to a definitive, open-source, and shareable solution remains unclear. 37 Low-level programming frameworks like C, C++, and Visual Basic have historically been used for high-level component integration, but the skills and time resources required have made it difficult for CFs to get into this. The advent of LAB-VIEW as a gold standard for hardware control introduced a higher-level programming framework that may be an interesting alternative, offering developers an easier way to build user interfaces with ready-made software/interface controls and graphical programming language, and with a vast majority of components manufacturers that deliver quickly reusable example code.…”
Section: 24mentioning
confidence: 99%
“…Studying biconservative submanifolds will reveal the influence of the tangential part, how much we can rely on just one part of the biharmonic equation, and how many results remain valid with this half condition. Biconservative submanifolds were studied in [4, 22, 36–39, 45, 46, 49, 50].…”
Section: Introductionmentioning
confidence: 99%
“…Tar and Total Particulate Matter (PM) are the major producer gas contaminants [7]. If the concentrations of such contaminants are higher, they create unacceptable maintenance downstream of the system [8].…”
Section: Introductionmentioning
confidence: 99%