• Journal of the Chungcheong Mathematical Society
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• v.25 no.1
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• pp.73-90
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• 2012

We define a quarter-symmetric non-metric connection in a nearly trans-Sasakian manifold and we consider semi-invariant submanifolds of a nearly trans-Sasakian manifold endowed with a quarter-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.

• Communications of the Korean Mathematical Society
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• v.34 no.3
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• pp.935-949
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• 2019

The purpose of the paper is to study the notion of pseudo-slant submanifolds and the existence of some structures on a pseudo-slant submanifolds of nearly (${\varepsilon},{\delta}$)-trans-Sasakian manifold. Totally umbilical proper-slant submanifolds are worked out. We discuss the integrability of distributions on pseudo-slant submanifolds of nearly (${\varepsilon},{\delta}$)-trans-Sasakian manifold.

• Asian-Australasian Journal of Animal Sciences
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• v.18 no.10
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• pp.1425-1429
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• 2005

Megaspahera elsdenii YJ-4, which was previously isolated as a producer of trans-10, cis-12 CLA, was studied for its carbon source on the CLA production. M. elsdenii YJ-4, was incubated with glucose and lactose, and cultured in batch and continuous culture systems with linoleic acid at various pHs to investigate CLA production. Batch cultures of the ruminal bacterium, M. elsdenii YJ-4, were resistant to stearic acid and linoleic acid, and little growth inhibition was observed even when the fatty acid concentration in the culture was as much as 4 mg $ml^{-1}$. Stationary phase batch cultures (0.25 mg bacterial protein $ml^{-1}$) that had been grown on lactate and incubated with linoleic acid (0.20 mg $ml^{-1}$) produced approximately 12 ${\mu}g$ trans-10, cis-12 CLA mg $protein^{-1}$ and little cis-9, trans-11 CLA was detected. Some linoleic acid was converted to hydrogenated products (chiefly stearic acid), but these fatty acids were less than 5 ${\mu}g$ mg bacterial $protein^{-1}$. Stationary phase batch cultures that had been grown on glucose produced at least 3-fold less trans-10, cis-12 CLA than ones grown on lactate. Cells from lactate-limited continuous cultures produced less trans-10, cis-12 CLA than those from batch culture, but only if the pH was greater than 6.4. When the pH of the lactate-limited continuous cultures was lower than 6.4, trans-10, cis-12 CLA and hydrogenated products declined. Cells from glucose-limited continuous cultures produced less trans-10, cis-12 CLA and hydrogenated products than the cells that had been limited by lactate, but pH had little impact on this production. These results support the idea that M. elsdenii YJ-4 could be one of the major producers of trans-10, cis-12 CLA which causes cows to produce milk with a low fat content.

• Bulletin of the Korean Mathematical Society
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• v.53 no.6
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• pp.1771-1783
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• 2016

We study lightlike hypersurfaces M of an indefinite trans-Sasakian manifold ${\bar{M}}$ with a non-metric ${\phi}$-symmetric connection. We characterize the geometry of lightlike hypersurfaces of such a ${\bar{M}}$.

• Bulletin of the Korean Mathematical Society
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• v.45 no.4
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• pp.681-687
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• 2008

We give a characterization of trans-separability for the function spaces ($C_b(X,\;E)$, $\beta$), (C(X, E), k) and ($C_b(X,\;E)$, u) in the case of E any general topological vector space.

• Kyungpook Mathematical Journal
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• v.61 no.2
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• pp.395-408
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• 2021

The object of the present paper is to study f-biharmonic submanifolds of three dimensional trans-Sasakian manifolds. We find some necessary and sufficient conditions for such submanifolds to be f-biharmonic.

• Korean Journal of Mathematics
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• v.29 no.2
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• pp.425-434
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• 2021

The object of the present paper is to deduce some important results on generic submanifolds and generic product of trans-Sasakian manifolds with concurrent vector fields.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.4
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• pp.375-386
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• 2020

In this article we have studied different types of symmetricness of trans-Sasakian space forms.

• Asian-Australasian Journal of Animal Sciences
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• v.16 no.11
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• pp.1604-1609
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• 2003

A metabolism trial with four ruminally fistulated sheep was conducted in a $4{\times}4$ Latin square design to examine the effect of concentrate to roughage ratio (70:30 vs. 85:15) and oil source (soybean oil vs. rapeseed oil) on the ruminal fermentation pattern and $C_{18}$-fatty acids composition including trans11-$C_{18:1}$ (trans11-ODA) and cis9, trans11-18:2 (cis9, trans11-CLA) in the rumen fluid and plasma. Oil was added to the concentrate at 5% level of the total diet (DM basis) and chopped rye grass hay was fed as roughage. An increased level of concentrate (85%) within supplemented oil slightly lowered pH but increased ammonia concentration. Supplementation of rapeseed oil relatively increased pH and ammonia concentration. Higher concentrate level resulted in increased tendencies of total VFA concentration while oil source did not affect the total VFA concentration and VFA proportion. Whole tract digestibilities of DM, CP, EE, NDF and OM in diets slightly increased at higher concentrate level. Proportions of oleic acid ($C_{18:1}$) and linoleic acid ($C_{18:2}$) in the rumen fluid were influenced by the fatty acid composition of oil source but oil source did not affect the in vitro formations of trans11-ODA and cis9, trans11-CLA. Slightly increased trans11-ODA and cis9, trans11-CLA proportions, however, were observed from the sheep fed high roughage diet supplemented with both soybean oil and rapeseed oil. The $C_{18:1}$ and $C_{18:2}$ composition in supplemented oils responded to those in plasma of sheep. Effects of concentrate to roughage ratio and oil source on trans11-ODA and cis9, trans11-CLA proportions in plasma were found to be small. Proportion of cis9, trans11-CLA in plasma tended to be increased from the sheep fed high roughage diet and collection time at 9h post feeding.

• Journal of the Korean Society of Food Science and Nutrition
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• v.33 no.9
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• pp.1529-1536
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• 2004

This study was designed to determine total trans fatty acids (tFAs) content of processed foods commonly consumed in the Korean diet and to prepare the database for the estimation of tFAs intake in Koreans. Total fat and tFAs content was determined by Soxhlet extraction method and attenuated total reflection infrared spectroscopy (ATR-IR), respectively. The tFAs positional isomers were analyzed using GC/MS spectrometer. In margarines, the content of tFAs ranged from 8.27% to 28.53%. Shortenings contained higher levels of tFAs (1.98~11.33%) than lards (1.83~1.96%). The content of tFAs in grilled confectioneries was wide (7.37~26.54%). Instant popcorns contained the highest amount of tFAs. Fried chickens had 0.44 to 14.85% of tFAs and french fries had 5.18 to 27.01% of tFAs. In fried snacks (crispy) and chocolates, tFAs were not detected. The amount of tFAs per serving size was the highest in instant popcorn, followed by french fries, fried snack (tortilla), doughnuts, and grilled confectioneries. TFAs isomer of margarines was mostly C18:1${\Delta}$9t. In shortenings and lards, the most abundant positional isomer of tFAs was C18:1${\Delta}$9t and C18:2${\Delta}$9t ${\Delta}$12t. Correlation coefficient of tFAs content between IR and GC/MS method was $r^2$=0.91.