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ON (ϵ)-LORENTZIAN PARA-SASAKIAN MANIFOLDS
Prasad, Rajendra,Srivastava, Vibha Korean Mathematical Society 2012 대한수학회논문집 Vol.27 No.2
In this paper we study (${\epsilon}$)-Lorentzian para-Sasakian manifolds and show its existence by an example. Some basic results regarding such manifolds have been deduced. Finally, we study conformally flat and Weyl-semisymmetric (${\epsilon}$)-Lorentzian para-Sasakian manifolds.
A note on Einstein-like para-Kenmotsu manifolds
Rajendra Prasad,Sandeep Kumar Verma,Sumeet Kumar 호남수학회 2019 호남수학학술지 Vol.41 No.4
The objective of this paper is to introduce and study Einstein-like para-Kenmotsu manifolds. For a para-Kenmotsu manifold to be Einstein-like, a necessary and sufficient condition in terms of its curvature tensor is obtained. We also obtain the scalar curvature of an Einstein-like para-Kenmotsu manifold. A necessary and sufficient condition for an almost para-contact metric hypersurface of a locally product Riemannian manifold to be para-Kenmotsu is derived and it is shown that the para-Kenmotsu hypersurface of a locally product Riemannian manifold of almost constant curvature is always Einstein.
QUASI BI-SLANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS
Rajendra Prasad,Abdul Haseeb,Pooja Gupta,AHMED HUSSEIN MSMALI 장전수학회 2022 Advanced Studies in Contemporary Mathematics Vol.32 No.2
The fundamental motivation behind the current paper is to define and study the notion of quasi bi-slant submanifolds of Kenmotsu manifolds as a generalization of slant, semi-slant, hemi-slant, bi-slant and quasi hemislant submanifolds. First and foremost, we obtain the necessary and suffcient condition for the integrability of distributions of quasi bi-slant submanifolds of Kenmotsu manifolds and afterwards, we investigate the conditions for quasi bi-slant submanifolds of Kenmotsu manifolds to be totally geodesic. At long last, we additionally provide some examples of such submanifolds.
Prasad, Rajendra,Misra, A.K.,Sankhyan, S.K.,Mishra, A.S.,Tripathi, M.K.,Karim, S.A.,Jakhmola, R.C. Asian Australasian Association of Animal Productio 2003 Animal Bioscience Vol.16 No.9
Growth performance, nutrient digestibility and changes in caecal fermentation pattern was studied on four groups of 8 grower rabbits (soviet chinchilla) each, fed on diets containing 17 to 18% CP and $10.4-11.00MJ\;DE\;kg^{-1}$ feed. The complete diets contained mulberry leaves along with other feed ingredients at 0 (LH), 15 (ML15), 30 (ML30) and 45% (ML45) levels. In LH diet ground lucerne hay was added at 15% of the diet as roughage source. The diets were uniform in other nutritional parameters except the higher amount of hemicellulose (18.7 and 16.5%) in LH and ML15 diets. The performance of grower rabbits was better (p<0.05) on LH and ML15 diets in terms of twelve weeks weight (kg), total gain (g), average daily gain (ADG) and feed efficiency (%). Different levels of mulberry leaves in the diet did not influence the dry matter intake. Digestibility of nutrients for DM, OM, CP, NDF and energy was uniform in all the diets but the digestibility of CF, ADF and cellulose was higher (p<0.01) on ML15, ML30 and ML 45 diets. The hemicellulose digestibility was significantly higher (p<0.01) on LH (44.52%) and ML15 (48.00%) compared to ML30 (33.54%) and ML 45 (39.17%) diets. The nitrogen retention (% of intake) was higher (p<0.05) in LH and ML15 diets than ML30 and ML45 diets. The caecum weight as percent of intestine weight consistently increased (p<0.05) with increasing content of mulberry leaves in diets. Total nitrogen and $NH_3$-N was higher on LH and ML15 diets. It is concluded that incorporation of mulberry leaves can replace Lucerne hay in complete rabbit feed (15% in diet). Even at higher level i.e. 30 and 45% of the diet mulberry leaves based complete feed gave promising results.
A NOTE ON EINSTEIN-LIKE PARA-KENMOTSU MANIFOLDS
Prasad, Rajendra,Verma, Sandeep Kumar,Kumar, Sumeet The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.4
The objective of this paper is to introduce and study Einstein-like para-Kenmotsu manifolds. For a para-Kenmotsu manifold to be Einstein-like, a necessary and sufficient condition in terms of its curvature tensor is obtained. We also obtain the scalar curvature of an Einstein-like para-Kenmotsu manifold. A necessary and sufficient condition for an almost para-contact metric hypersurface of a locally product Riemannian manifold to be para-Kenmotsu is derived and it is shown that the para-Kenmotsu hypersurface of a locally product Riemannian manifold of almost constant curvature is always Einstein.
Quasi hemi-slant submanifolds of cosymplectic manifolds
Rajendra Prasad,Sandeep Kumar Verma,Sumeet Kumar,Sudhakar K Chaubey 강원경기수학회 2020 한국수학논문집 Vol.28 No.2
We introduce and study quasi hemi-slant submanifolds of almost contact metric manifolds (especially, cosymplectic manifolds) and validate its existence by providing some non-trivial examples. Necessary and sufficient conditions for integrability of distributions, which are involved in the definition of quasi hemi-slant submanifolds of cosymplectic manifolds, are obtained. Also, we investigate the necessary and sufficient conditions for quasi hemi-slant submanifolds of cosymplectic manifolds to be totally geodesic and study the geometry of foliations determined by the distributions.
QUASI HEMI-SLANT SUBMANIFOLDS OF KAEHLER MANIFOLDS
( Rajendra Prasad ),( S. S. Shukla ),( Abdul Haseeb ),( Sumeet Kumar ) 호남수학회 2020 호남수학학술지 Vol.42 No.4
In the present paper, we introduce the notion of quasi hemi-slant submanifolds of almost Hermitian manifolds and give some of its examples. We obtain the necessary and sufficient conditions for the distributions to be integrable. We also investigate the necessary and sufficient conditions for these submanifolds to be totally geodesic and study the geometry of foliations determined by the distributions. Finally, we obtain the necessary and sufficient condition for a quasi hemi-slant submanifold to be local product of Riemannian manifold.
A note on transversal hypersurfaces of para-Kenmotsu manifolds
Rajendra Prasad,Laxmi Rathour,Pooja Gupta,Abdul Haseeb 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.1
A note on transversal hypersurfaces of para-Kenmotsu manifolds
Rajendra Prasad, M.B.,Kadam, Vishal,Joo, Oh-Shim,Pathan, Habib M. Elsevier 2017 Materials chemistry and physics Vol.194 No.-
<P><B>Abstract</B></P> <P>Incorporation of compact blocking layer at the Transparent Conducting Oxide (TCO)/Electrolyte interface is an effective method to improve the device performance in QDSSC through mitigation of electron recombinations at this interface. This paper reports the most facile and cost effective method of depositing a rutile titania Compact Layer (CL) over Fluorine doped Tin Oxide (FTO) substrate and its application in titania based CdS QD sensitized solar cells. The deposited compact layers are characterized to study their structural, optical, morphological and electrochemical properties using X-Ray Diffractometry, UV–Visible spectroscopy, Scanning electron microscopy, Cyclic Voltammetry and Contact Angle measurements. Sandwich solar cells are fabricated using these CL based electrodes and characterized using Electrochemical Impedance Spectroscopy, Open Circuit Voltage Decay and J-V characteristics. The CL incorporated CdS QDSSC showed more than 100% increase in the photoconversion efficiency (<B>1.68%</B>) as compared to its bare FTO counterpart (<B>0.73%</B>) proving the efficacy of employed strategy.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Deposited titania compact layer by a facile room temperature chemical bath method. </LI> <LI> Employed this to mitigate back electron transfer at TCO/Electrolyte interface. </LI> <LI> Compact layer incorporation has improved the solar cell performance by 130%. </LI> </UL> </P>
Conformal Quasi Hemi slant Riemannian submersions from cosymplectic manifolds
Rajendra Prasad,Shweta Singh 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.4
Conformal Quasi Hemi slant Riemannian submersions from cosymplectic manifolds