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Noisy Intermediate-Scale Quantum Computation Algorithms : machine learning, secure cloud computing, quantum annealing, and error mitigation
Get PDF東京理科大学博士（理学）2024doctoral thesi
Study of emergence and control of hidden order in transition metal chalcogenides
Get PDF東京理科大学博士（理学）2024doctoral thesi
Conformal quasi-Yamabe soliton and conformal gradient quasi-Yamabe soliton on 3-dimensional trans-Sasakian manifold
Get PDFIn the framework of a three-dimensional trans-Sasakian manifold,
the main objective of the present paper is to provide a complete analysis of
conformal quasi-Yamabe soliton as well as conformal gradient quasi-Yamabe
soliton. Firstly, we investigate that three dimensional trans-Sasakian manifold
as conformal quasi-Yamabe soliton reduces to quasi-Sasakian manifold, the vector
field is infinitesimal contact transformation and some other results are also
proved. Lastly, we have to study conformal gradient quasi-Yamabe soliton on
three dimensional trans-Sasakian manifold. Here, we have proved that either
the scalar curvature is constant or the vector fields is pointwise collinear with
the Reeb vector field.departmental bulletin pape
Reduction theorem for support τ -tilting modules over group algebras
Get PDFIn studying the structure of derived categories of module categories
of group algebras or their blocks, it is fundamental to classify support τ -tilting
modules. Koshio and Kozakai showed that the structure of support τ -tilting
modules over blocks of finite groups can be reduced to that of their subgroups
under suitable conditions. We show that the ‘quotient reduction’ is also valid
under suitable conditions.departmental bulletin pape