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Intrinsic and Extrinsic Geometry of Kählerian Slant Submanifolds in Complex Space Forms
MathematicsThe study of complex space forms plays a central role in differential geometry, as these manifolds provide a natural framework for exploring geometric structures endowed with rich symmetries, extending both Riemannian and Kählerian geometries.
Andreea Olteanu +3 more
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Ricci curvature of submanifolds in Kenmotsu space forms
International Journal of Mathematics and Mathematical Sciences, 2002 In 1999, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension.
Kadri Arslan +4 more
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Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics
Mathematics, 2015 A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
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A study on hypersurface of complex space form
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2013 We show that quasi-umbilical, generalized quasi-umbilical, super quasi-umbilical hypersurfaces of a complex space form are quasi-Einstein, mixed generalized quasi-Einstein and mixed super quasi-Einstein manifolds, respectively. We also prove that a Bochner at space of generalized complex space form is an Einstein manifold.
C. S. Bagewadi, M. C. Bharathi
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Linear differential equations with coefficients in Fock type space
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper we deal with complex differential equations of the form \begin{eqnarray*} f^{(k)}+a_{k-1}(z)f^{(k-1)}+\cdot\cdot\cdot+a_{1}(z)f^{'}+a_{0}(z)f=0 \end{eqnarray*} with the coefficients in Fock type space.
Xiang Dong Yang, Jin Tu
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Understanding the city through its semiotic spatialities
Sign Systems Studies, 2011 The city is a complex sociocultural phenomenon where space and time are simultaneously parts of itself and parts of its conceptualisation. In the paper I draw out three general perspectives where the city is characterised by different spatialities and ...
Tiit Remm
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Classification of Complex Fuzzy Numbers and Fuzzy Inner Products
Mathematics, 2020 The paper is concerned with complex fuzzy numbers and complex fuzzy inner product spaces. In the classical complex number set, a complex number can be expressed using the Cartesian form or polar form. Both expressions are needed because one expression is
Jin Hee Yoon +3 more
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An Immersion of an $n$-dimensional Real Space Form into an $n$-dimensional Complex Space Form
Tokyo Journal of Mathematics, 1986 Let \(M\) be an \(n\)-dimensional submanifold of an \(m\)-dimensional Riemannian manifold \(N\) and \(H\) be the mean curvature vector of \(M\). Let \(\zeta_ x\) be \(m-n\) mutually orthogonal unit normal vector fields of \(M\) such that \(H=| H|_{\zeta_ 1}\). The normal vector \(a(H)\) defined by \[ a(H)=(| H| /n)\sum^{m-n}_{x=2}Tr(A_ 1 A_ x)\zeta_ x \
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EPJ Web of Conferences, 2016 The repulsive Coulomb force poses severe challenges when describing (d, p) reactions for highly charged nuclei as a three-body problem. Casting Faddeev-AGS equations in a Coulomb basis avoids introducing screening of the Coulomb force.
Eremenko V. +6 more
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Geometry of conformal vector fields
Arab Journal of Mathematical Sciences, 2017 It is well known that the Euclidean space (Rn,〈,〉), the n-sphere Sn(c) of constant curvature c and Euclidean complex space form (Cn,J,〈,〉) are examples of spaces admitting conformal vector fields and therefore conformal vector fields are used in ...
Sharief Deshmukh
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