04413nam 2201081z- 450 9910367742103321202102113-03921-801-8(CKB)4100000010106296(oapen)https://directory.doabooks.org/handle/20.500.12854/45107(oapen)doab45107(EXLCZ)99410000001010629620202102d2019 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierDifferential GeometryMDPI - Multidisciplinary Digital Publishing Institute20191 online resource (166 p.)3-03921-800-X 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.affine hypersurfaceaffine sphereanti-invariantC-Bochner tensorcapacityCasorati curvaturecentrodescircular helicescircular rectifying curvescompact complex surfacescomplete connectionconcircular vector fieldconcurrent vector fieldconical surfaceconjugate connectionconjugate symmetric statistical structureconstant ratio submanifoldscylindrical hypersurfaceDarboux framedevelopable surfaceEuclidean submanifoldframed helicesframed rectifying curvesFrenet framegeneralized 1-type Gauss mapgeneralized normalized ?-Casorati curvatureHessian manifoldsHessian sectional curvatureHodge-Laplacianinextensible flowinvariantk-th generalized Tanaka-Webster connectionKähler-Einstein metricsL2-harmonic formsL2-Stokes theoremlie derivativelightlike surfacemanifold with singularityMinkowski planeMinkowskian angleMinkowskian lengthMinkowskian pseudo-anglenon-flat complex space formpinching of the curvaturesposition vector fieldreal hypersurfacerectifying submanifoldReeb flow symmetryRicci curvatureRicci operatorRicci solitonruled surfaceSasakian manifoldSasakian statistical manifoldscalar curvaturesectional ?-curvatureshape operatorsingular pointsslantstatistical manifoldsstatistical structuresymplectic curvaturessymplectic curvesT-submanifoldstrans-Sasakian 3-manifoldMihai Ionauth1323721BOOK9910367742103321Differential Geometry3035772UNINA