LEADER 04413nam 2201081z- 450 001 9910367742103321 005 20210211 010 $a3-03921-801-8 035 $a(CKB)4100000010106296 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/45107 035 $a(oapen)doab45107 035 $a(EXLCZ)994100000010106296 100 $a20202102d2019 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aDifferential Geometry 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 215 $a1 online resource (166 p.) 311 08$a3-03921-800-X 330 $aThe 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. 610 $aaffine hypersurface 610 $aaffine sphere 610 $aanti-invariant 610 $aC-Bochner tensor 610 $acapacity 610 $aCasorati curvature 610 $acentrodes 610 $acircular helices 610 $acircular rectifying curves 610 $acompact complex surfaces 610 $acomplete connection 610 $aconcircular vector field 610 $aconcurrent vector field 610 $aconical surface 610 $aconjugate connection 610 $aconjugate symmetric statistical structure 610 $aconstant ratio submanifolds 610 $acylindrical hypersurface 610 $aDarboux frame 610 $adevelopable surface 610 $aEuclidean submanifold 610 $aframed helices 610 $aframed rectifying curves 610 $aFrenet frame 610 $ageneralized 1-type Gauss map 610 $ageneralized normalized ?-Casorati curvature 610 $aHessian manifolds 610 $aHessian sectional curvature 610 $aHodge-Laplacian 610 $ainextensible flow 610 $ainvariant 610 $ak-th generalized Tanaka-Webster connection 610 $aKa?hler-Einstein metrics 610 $aL2-harmonic forms 610 $aL2-Stokes theorem 610 $alie derivative 610 $alightlike surface 610 $amanifold with singularity 610 $aMinkowski plane 610 $aMinkowskian angle 610 $aMinkowskian length 610 $aMinkowskian pseudo-angle 610 $anon-flat complex space form 610 $apinching of the curvatures 610 $aposition vector field 610 $areal hypersurface 610 $arectifying submanifold 610 $aReeb flow symmetry 610 $aRicci curvature 610 $aRicci operator 610 $aRicci soliton 610 $aruled surface 610 $aSasakian manifold 610 $aSasakian statistical manifold 610 $ascalar curvature 610 $asectional ?-curvature 610 $ashape operator 610 $asingular points 610 $aslant 610 $astatistical manifolds 610 $astatistical structure 610 $asymplectic curvatures 610 $asymplectic curves 610 $aT-submanifolds 610 $atrans-Sasakian 3-manifold 700 $aMihai$b Ion$4auth$01323721 906 $aBOOK 912 $a9910367742103321 996 $aDifferential Geometry$93035772 997 $aUNINA