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 rectifying a...

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Year of Publication:2019
Language:English
Physical Description:1 electronic resource (166 p.)
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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. 
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653 |a Hodge–Laplacian 
653 |a complete connection 
653 |a concircular vector field 
653 |a cylindrical hypersurface 
653 |a k-th generalized Tanaka–Webster connection 
653 |a Casorati curvature 
653 |a symplectic curves 
653 |a generalized 1-type Gauss map 
653 |a rectifying submanifold 
653 |a manifold with singularity 
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653 |a Minkowski plane 
653 |a compact complex surfaces 
653 |a conjugate connection 
653 |a T-submanifolds 
653 |a L2-Stokes theorem 
653 |a inextensible flow 
653 |a shape operator 
653 |a generalized normalized ?-Casorati curvature 
653 |a Sasakian manifold 
653 |a centrodes 
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653 |a non-flat complex space form 
653 |a invariant 
653 |a Frenet frame 
653 |a Darboux frame 
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653 |a singular points 
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653 |a lie derivative 
653 |a position vector field 
653 |a pinching of the curvatures 
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653 |a Minkowskian angle 
653 |a Hessian sectional curvature 
653 |a Minkowskian length 
653 |a lightlike surface 
653 |a affine sphere 
653 |a concurrent vector field 
653 |a slant 
653 |a affine hypersurface 
653 |a anti-invariant 
653 |a statistical manifolds 
653 |a Ricci operator 
653 |a C-Bochner tensor 
653 |a Ricci curvature 
653 |a real hypersurface 
653 |a scalar curvature 
653 |a framed rectifying curves 
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