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Fractional Vector Cross Product
Mukut Mani Tripathi,김종률 한국수학교육학회 2022 純粹 및 應用數學 Vol.29 No.1
A definition of fractional vector cross product of two vectors in Euclidean $3$-space is presented. The formulas for Euclidean norm of the fractional vector cross product of two vectors, and for fractional triple vector cross product are obtained.
Lorentzian Almost Paracontact Manifolds and their Submanifolds
Mukut Mani Tripathi,Uday Chand De 한국수학교육학회 2001 純粹 및 應用數學 Vol.8 No.2
This is a survey article on almost Lorentzian paracontact manifolds. The study of Lorentzian almost paracontact manifolds was initiated by Matsumoto [On Lorentzian paracontact manifolds, Bull. Yamagata Univ. Nat. Sci. 12 (1989), 151-156. Later on several authors studied Lorentzian almost paracontact manifolds and their different classes, viz. LP-Sasakian and LSP-Sasakian manifolds. Different types of submanifolds, for example invariant, semi-invariant and almost semi-invariant, of Lorentzian almost paracontact manifold have been studied. Here, we present a brief survey of results on Lorentzian almost paracontact manifolds with their different classes and their different kind of submanifolds.
ON N(k)-QUASI EINSTEIN MANIFOLDS
Tripathi, Mukut Mani,Kim, Jeong-Sik Korean Mathematical Society 2007 대한수학회논문집 Vol.22 No.3
N(k)-quasi Einstein manifolds are introduced and studied.
Lokesh Mukut Vaishnav,Shiv Hiren Joshi,Abhishek Upendra Joshi,Ashok Madhukar Mehendale 대한노인병학회 2022 Annals of geriatric medicine and research Vol.26 No.3
Aging care is critical. Projections for 2020 indicate that India’s older population will comprise 6.57% of the overall population. The best-known newly developed technologies must be provided to the older population. Non-governmental organizations and private institutions are increasingly providing more door-to-door guidance and help. This study evaluated the impact of the National Programme for Health Care of the Elderly (NPHCE) in India and analyzed its achievements and challenges. The program’s key strategies include providing preventive and promotional care and sickness management, empowering geriatric services, and guaranteeing optimal rehabilitation. The NPHCE is an excellent project for caring for a rapidly aging population. This study described the existing programs and schemes related to older people in India, with a focus on the NPHCE and an analysis of the program’s achievements and challenges.
ON SEMI - INVARIANT SUBMANIFOLDS OF LORENTZIAN ALMOST PARACONTACT MANIFOLDS
Tripathi, Mukut Mani 한국수학교육학회 2001 純粹 및 應用數學 Vol.8 No.1
Semi-invariant submanifolds of Lorentzian almost paracontact manifolds are studied. Integrability of certain distributions on the submanifold are investigated. It has been proved that a LP-Sasakian manifold does not admit a proper semi-invariant submanifold.
Characterization of transcription factor genes related to cold tolerance in Brassica napus
Sharma, Mayur Mukut Murlidhar,Ramekar, Rahul Vasudeo,Park, Nam-Il,Choi, Ik-Young,Choi, Seon-Kang,Park, Kyong-Cheul Korea Genome Organization 2021 Genomics & informatics Vol.19 No.4
Brassica napus is the third most important oilseed crop in the world; however, in Korea, it is greatly affected by cold stress, limiting seed growth and production. Plants have developed specific stress responses that are generally divided into three categories: cold-stress signaling, transcriptional/post-transcriptional regulation, and stress-response mechanisms. Large numbers of functional and regulatory proteins are involved in these processes when triggered by cold stress. Here, our objective was to investigate the different genetic factors involved in the cold-stress responses of B. napus. Consequently, we treated the Korean B. napus cultivar Naehan at the 4-week stage in cold chambers under different conditions, and RNA and cDNA were obtained. An in silico analysis included 80 cold-responsive genes downloaded from the National Center for Biotechnology Information (NCBI) database. Expression levels were assessed by reverse transcription polymerase chain reaction, and 14 cold-triggered genes were identified under cold-stress conditions. The most significant genes encoded zinc-finger proteins (33.7%), followed by MYB transcription factors (7.5%). In the future, we will select genes appropriate for improving the cold tolerance of B. napus.
On C-Bochner curvature tensor of a contact metric manifold
김정식,Mukut Mani Tripathi,최재동 대한수학회 2005 대한수학회보 Vol.42 No.4
We prove that a (kappa,mu)-manifold with vanishing E-Bochner curvature tensor is a Sasakian manifold. Several interesting corollaries of this result are drawn. Non-Sasakian (kappa,mu)-manifolds with C-Bochner curvature tensor B satisfying B(xi;X)S = 0, where S is the Ricci tensor, are classied. N (kappa)-contact metric manifolds M^{2n +1} , satisfyingB (xi,X)R = 0 or B (xi,X)B = 0 are classied and studied.
Chen inequalities for submanifolds in generalized complex space forms
김정식,송영무,Mukut Mani Tripathi 대한수학회 2003 대한수학회보 Vol.40 No.3
Some B.-Y. Chen inequalities for different kind of submanifolds ofgeneralized complex space forms are established.