Differential Geometry

The present book contains 14 papers published in the Special Issue "Differential Geometry" of the journal Mathematics. They represent a selection of the 30 submissions. This book covers a variety of both classical and modern topics in differential geometry. We mention properties of both re...

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Bibliographic Details
Main Author: Mihai, Ion
Format: eBook
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
Subjects:
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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653 |a Reeb flow symmetry 
653 |a framed helices 
653 |a Minkowski plane 
653 |a lie derivative 
653 |a T-submanifolds 
653 |a invariant 
653 |a C-Bochner tensor 
653 |a concircular vector field 
653 |a generalized normalized ?-Casorati curvature 
653 |a complete connection 
653 |a circular helices 
653 |a singular points 
653 |a conjugate connection 
653 |a Euclidean submanifold 
653 |a Hessian manifolds 
653 |a inextensible flow 
653 |a shape operator 
653 |a Sasakian statistical manifold 
653 |a lightlike surface 
653 |a framed rectifying curves 
653 |a Darboux frame 
653 |a Frenet frame 
653 |a developable surface 
653 |a conical surface 
653 |a concurrent vector field 
653 |a circular rectifying curves 
653 |a pinching of the curvatures 
653 |a Casorati curvature 
653 |a Ricci soliton 
653 |a constant ratio submanifolds 
653 |a Minkowskian length 
653 |a generalized 1-type Gauss map 
653 |a capacity 
653 |a sectional ?-curvature 
653 |a affine sphere 
653 |a slant 
653 |a symplectic curves 
653 |a statistical manifolds 
653 |a ruled surface 
653 |a symplectic curvatures 
653 |a trans-Sasakian 3-manifold 
653 |a position vector field 
653 |a scalar curvature 
653 |a manifold with singularity 
653 |a Minkowskian pseudo-angle 
653 |a Sasakian manifold 
653 |a Hodge-Laplacian 
653 |a conjugate symmetric statistical structure 
653 |a compact complex surfaces 
653 |a Hessian sectional curvature 
653 |a k-th generalized Tanaka-Webster connection 
653 |a Minkowskian angle 
653 |a L2-harmonic forms 
653 |a Kähler-Einstein metrics 
653 |a L2-Stokes theorem 
653 |a non-flat complex space form 
653 |a statistical structure 
653 |a cylindrical hypersurface 
653 |a rectifying submanifold 
653 |a Ricci operator 
653 |a centrodes 
653 |a real hypersurface 
653 |a anti-invariant 
653 |a affine hypersurface 
653 |a Ricci curvature 
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520 |a The present book contains 14 papers published in the Special Issue "Differential Geometry" of the journal Mathematics. They represent a selection of the 30 submissions. This book covers a variety of both classical and modern topics in differential geometry. We mention properties of both rectifying and affine curves, the geometry of hypersurfaces, angles in Minkowski planes, Euclidean submanifolds, differential operators and harmonic forms on Riemannian manifolds, complex manifolds, contact manifolds (in particular, Sasakian and trans-Sasakian manifolds), curvature invariants, and statistical manifolds and their submanifolds (in particular, Hessian manifolds). We wish to mention that among the authors, there are both well-known geometers and young researchers. The authors are from countries with a tradition in differential geometry: Belgium, China, Greece, Japan, Korea, Poland, Romania, Spain, Turkey, and United States of America. Many of these papers were already cited by other researchers in their articles. This book is useful for specialists in differential geometry, operator theory, physics, and information geometry as well as graduate students in mathematics.