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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ctrlnum (CKB)4100000010106296
(oapen)https://directory.doabooks.org/handle/20.500.12854/45107
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spelling Mihai, Ion auth
Differential Geometry
MDPI - Multidisciplinary Digital Publishing Institute 2019
1 electronic resource (166 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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.
English
statistical structure
constant ratio submanifolds
Euclidean submanifold
framed helices
Sasakian statistical manifold
L2-harmonic forms
Hodge–Laplacian
complete connection
concircular vector field
cylindrical hypersurface
k-th generalized Tanaka–Webster connection
Casorati curvature
symplectic curves
generalized 1-type Gauss map
rectifying submanifold
manifold with singularity
ruled surface
Minkowski plane
compact complex surfaces
conjugate connection
T-submanifolds
L2-Stokes theorem
inextensible flow
shape operator
generalized normalized ?-Casorati curvature
Sasakian manifold
centrodes
circular helices
non-flat complex space form
invariant
Frenet frame
Darboux frame
trans-Sasakian 3-manifold
singular points
symplectic curvatures
Kähler–Einstein metrics
conjugate symmetric statistical structure
sectional ?-curvature
circular rectifying curves
developable surface
capacity
Ricci soliton
Reeb flow symmetry
Minkowskian pseudo-angle
conical surface
lie derivative
position vector field
pinching of the curvatures
Hessian manifolds
Minkowskian angle
Hessian sectional curvature
Minkowskian length
lightlike surface
affine sphere
concurrent vector field
slant
affine hypersurface
anti-invariant
statistical manifolds
Ricci operator
C-Bochner tensor
Ricci curvature
real hypersurface
scalar curvature
framed rectifying curves
3-03921-800-X
language English
format eBook
author Mihai, Ion
spellingShingle Mihai, Ion
Differential Geometry
author_facet Mihai, Ion
author_variant i m im
author_sort Mihai, Ion
title Differential Geometry
title_full Differential Geometry
title_fullStr Differential Geometry
title_full_unstemmed Differential Geometry
title_auth Differential Geometry
title_new Differential Geometry
title_sort differential geometry
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2019
physical 1 electronic resource (166 p.)
isbn 3-03921-801-8
3-03921-800-X
illustrated Not Illustrated
work_keys_str_mv AT mihaiion differentialgeometry
status_str n
ids_txt_mv (CKB)4100000010106296
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