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Content available remote On pinching theorems for compact pseudo-umbilical submanifold
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2012
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tom Vol. 45, nr 3
645-654
EN
Consider submanifolds in the nested space. For a compact pseudoumbilical submanifold with parallel mean curvature vector of a Riemannian submanifold with constant curvature immersed in a quasi-constant curvature Riemannian manifold, two sufficient conditions are given to let the pseudo-umbilical submanifold become a totally umbilical submanifold.
2
Content available remote Entire graphs under a general flow
80%
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tom Vol. 42, nr 3
631-640
EN
An initial entire graph with bounded second fundamental form in Rn+1 over some hyperplane is evolving under a general flow defined in the paper. For an additionally suitable condition in the main theorem, we obtain gradient and curvature estimates, leading to long-time existence of the flow, and convergence to an entire graph in the limit.
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tom 46
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nr 3
285-289
EN
The study aimed to compare Mspl polymorphisms in the 3rd intron of the porcine gene encoding the pituitary-1 transcription factor (Pit-1, renamed as POU1F1) among 5 breeds and to determine the associations between its genotypes and growth performance in a commercial pig population by using the PCR-RFLP technique. Significant differences in genotypie and allelic frequencies were found between the meat-type and fat-type breeds (P < 0.05), and between miniature pigs and others (P < 0.05). No breed deviated from the Hardy-Weinberg equilibrium (verified by chi-square test). The general linear model analysis revealed that higher body weight on day 180 (BW180) and average daily gain (ADG) were significantly associated with POU1F1 DD genotype (P < 0.05). The differences in BW180 and ADG between DD pigs and both CD and CC pigs were significant (P < 0.05), and the DD pigs had a significantly higher body weight on day 45 (BW45) and on day 70 (BW70) than CC pigs (P < 0.05). All measured growth traits, except for body weight at birth (BWB), showed higher values in DD pigs. The D allele had a favorable positive effect on growth traits. Thus POU1F1 is a potential major gene or marker for growth traits.
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