• 대한수학회보
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• 제50권6호
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• pp.2089-2101
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• 2013

The aim of this paper is to introduce the notion of Lie recurrent structure Jacobi operator for real hypersurfaces in non-flat complex space forms and to study such real hypersurfaces. More precisely, the non-existence of such real hypersurfaces is proved.

• 대한수학회지
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• 제54권1호
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• pp.101-115
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• 2017

In this paper, we study three types of lightlike hypersurfaces, which are called recurrent, Lie recurrent and Hopf lightlike hypersurfaces, of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. We provide several new results on such three types of lightlike hypersurfaces of an indefinite Kaehler manifold or an indefinite complex space form, with a semi-symmetric non-metric connection.

• Kyungpook Mathematical Journal
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• 제60권2호
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• pp.223-238
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• 2020

We study a lightlike hypersurface M of an indefinite nearly trans-Sasakian manifold ${\bar{M}}$ with an (ℓ, m)-type connection such that the structure vector field ζ of ${\bar{M}}$ is tangent to M. In particular, we focus on such lightlike hypersurfaces M for which the structure tensor field F is either recurrent or Lie recurrent, or such that M itself is totally umbilical or screen totally umbilical.

• 대한수학회논문집
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• 제32권1호
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• pp.119-133
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• 2017

In this paper, we study half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. First, we characterize the geometry of two types of half lightlike submanifolds of such an indefinite Kaehler manifold. Next, we investigate the geometry of half lightlike submanifolds of an indefinite complex space form with a semi-symmetric non-metric connection.

• 대한수학회보
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• 제54권2호
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• pp.619-632
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• 2017

We define a new connection on semi-Riemannian manifold, which is called a non-metric ${\phi}$-symmetric connection. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric ${\phi}$-symmetric connection.

• 대한수학회보
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• 제54권3호
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• pp.1003-1022
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• 2017

The object of study in this paper is generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. We study the geometry of two types of generic light-like submanifolds, which are called recurrent and Lie recurrent generic lightlike submanifolds, of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection.

• 한국간담췌외과학회지
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• 제26권2호
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• pp.178-183
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• 2022

Backgrounds/Aims: Proximal splenorenal shunt (PSRS) is considered a one-time treatment for noncirrhotic portal hypertension (NCPH) to prevent recurrent upper gastrointestinal (UGI) hemorrhage and long-term complications. Long-term shunt patency is necessary to achieve these. The lie of the shunt is a contributing factor to early shunt thrombosis. We investigated the role of resection of the distal tail of pancreas (caudal pancreatectomy [CP]) in improving the lie of shunt and decreasing shunt thrombosis. Methods: This was a retrospective cohort study of patients with NCPH who underwent PSRS between 2014-2020 in JIPMER, Puducherry, India. CP was performed in patients with a long tail of pancreas, with the tip of pancreatic tail extending up to splenic hilum on preoperative CT. Perioperative parameters and shunt patency rate of patients who underwent PSRS with CP (Group A) were compared with patients undergoing conventional PSRS (Group B). Statistical analysis was performed using the Mann-Whitney U test and χ² test. Results: Eighty four patients with NCPH underwent PSRS (extrahepatic portal vein obstruction = 39; noncirrhotic portal fibrosis = 45). Blood loss was lower (p = 0.002) and post-shunt fall in portal pressure higher (p = 0.002) in Group A. Shunt thrombosis rate was lower (p = 0.04) while rate of complete variceal regression (p = 0.03) and biochemical pancreatic leak (p = 0.01) were higher in Group A.There was no clinically relevant pancreatic fistula in either group. Conclusions: CP is a safe and useful technique for reducing shunt thrombosis after PSRS in patients with NCPH by improving the lie of shunt.

• 호남수학학술지
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• 제42권3호
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• pp.621-643
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• 2020

Depending on the characteristic vector filed ζ, a generic lightlike submanifold M in an indefinite Kaehler manifold ${\bar{M}}$ with a semi-symmetric metric connection has various characterizations. In this paper, when the characteristic vector filed ζ belongs to the screen distribution S(TM) of M, we provide some characterizations of (Lie-) recurrent generic lightlike submanifold M in an indefinite Kaehler manifold ${\bar{M}}$ with a semi-symmetric metric connection. Moreover, we characterize various generic lightlike submanifolds in an indefinite complex space form ${\bar{M}}$ (c) with a semi-symmetric metric connection.