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Real hypersurface of a complex space form [PDF]
New Trends in Mathematical Science, 2016 The purpose of the present paper is to give characterization of real hyper- surface of a complex space form. We find conditions for these hypersurfaces to be phi- symmetric and to have eta- parallel curvature tensor. Further we prove totally eta-umbilical real hypersurfaces of complex space forms have xi-parallel Ricci tensor and xi-parallel structure ...
NAGARAJA, H.G., SAVITRI SHASHIDAR, .
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A study on hypersurface of complex space form [PDF]
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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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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Frontiers in Pharmacology, 2020 In-crystal fragment screening is a powerful tool to chemically probe the surfaces used by proteins to interact, and identify the chemical space worth exploring to design protein-protein inhibitors.
Charlie Nichols +6 more
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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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On isometric immersions into complex space forms
Mathematische Annalen, 1993 The main purpose of this paper is to study isometric immersions of connected Kähler manifolds into non-flat complex space forms. The question of when such an isometric immersion is holomorphic is an interesting problem. This question has been successfully studied in the more general setting of harmonic maps by several authors, where they require the ...
Marcos Dajczer, Lucio Rodríguez
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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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