Differential geometry of complex manifolds (Q2862163)

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scientific article; zbMATH DE number 6226977
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Differential geometry of complex manifolds
scientific article; zbMATH DE number 6226977

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    14 November 2013
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    differential geometry
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    differential manifolds
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    almost complex manifold
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    almost hyperbolic Hermitian manifold
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    Differential geometry of complex manifolds (English)
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    This book deals with the differential geometry of complex manifolds. The author has written this book with the aim of helping students, researchers and scientists interested in this field of research. This book consists of thirteen chapters which treat subjects such as differential manifolds, properties of the curvature tensor, curvature tensors of an almost hyperbolic Hermitian manifold with certain conditions, symmetric and skew-symmetric second-order parallel tensors on an almost Hermitian of constant sectional curvature, different kinds of birecurrent almost complex manifolds admitting semi-symmetric metric connections, the real hypersurfaces of an almost hyperbolic Hermitian manifold, integrability of hyperbolic almost complex manifolds, analytic vector fields on an almost hyperbolic Hermitian manifold, Nijenhuis tensor, properties of quasi-Einstein almost hyperbolic Hermitian manifolds and properties of second-order parallel Ricci tensors on almost hyperbolic Hermitian manifolds admitting semi-symmetric metric connection.NEWLINENEWLINENEWLINEThis book is well-organized, well-written and clear. At the end of each chapter, references for further study are given. At several places, the motivation for research has been given via results. The language of the book is clear, correct and defensible in a logical and scientific sense. The subjects discussed satisfy the stringent rules of logic applied to mathematics. I recommend this book to those who are interested in this field of research.
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