Geometric Realizations of Curvature

Keywords

Geometry, Differential geometry, Curvature of Riemannian manifolds, Affine geometry, Riemannian geometry

References

• Riemannian Manifold in Which the Skew-Symmetric Curvature Operator has Pointwise Constant EigenvaluesStefan Ivanov, Irina Petrova — 1998
• Warped product Kähler manifolds and Bochner–Kähler metricsGeorgi Ganchev, Vesselka Mihova — 2006
• Remarks concerning the conformal deformation of riemannian structures on compact manifoldsNeil S. Trudinger — 1968
• Neutral hyperkahler structures on primary Kodaira surfacesH. Kamada — 1999
• Osserman Manifolds in Semi-Riemannian GeometryEduardo García‐Río, Demir N. Küpeli, Ramón Vázquez‐Lorenzo — 2002
• Introduction to the affine differential geometry of hypersurfacesUdo Simon, Angela Schwenk-Schellschmidt, Helmut Viesel — 1991
• Three-Dimensional Lorentz Metrics and Curvature Homogeneity of Order OnePeter Bueken, Mirjana Djorić — 2000
• Curvature homogeneity for four-dimensional manifoldsKouei Sekigawa, Hiroshi Suga, Lieven Vanhecke — 1995
• Espace de twisteurs d'une variété presque hermitienne de dimension 6Jean-Baptiste Butruille — 2005
• Classifications of Kaehler manifolds satisfying some curvature conditionsJohan Deprez, Kouei Sekigawa, Leopold Verstraelen — 1988
• A curvature characterization of certain locally rank-one symmetric spacesQuo-Shin Chi — 1988
• Global analysis : papers in honor of K. Kodaira邦彦 小平, D. C. Spencer, 昌吉 弥永 — 2015
• On a deformation of Riemannian structures on compact manifoldsHidehiko Yamabe — 1960
• Algebraic theory of affine curvature tensorsNovica Blažić, Peter Gilkey, Stana Nikčević — 2006
• Compact Hermitian surfaces of constant antiholomorphic sectional curvaturesVestislav Apostolov, Georgi Ganchev, Stefan Ivanov — 1997
• Almost Hermitian structures induced from a Kähler structure which has constant holomorphic sectional curvatureTakuji Sato — 2003
• On the Hermitian curvature of symplectic manifoldsLuigi Vezzoni — 2006
• On the complete decomposition of curvature tensors of Riemannian manifolds with symmetric connectionNeda Bokan — 1990
• Curvature identities for Hermitian and almost Hermitian manifoldsAlfred Gray — 1976
• Almost Hermitian manifolds satisfying some curvature conditionsKouei Sekigawa — 1979

Cited by

• On submanifolds whose tubular hypersurfaces have constant mean curvaturesJianquan Ge — 2011
• A filtration for isoparametric hypersurfaces in Riemannian manifoldsJianquan Ge, Zizhou Tang, Wenjiao Yan — 2011
• Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifoldsMiguel Brozos‐Vázquez, Eduardo García‐Río, Peter Gilkey — 2010
• On curvature‐homogeneous spaces of type (1,3)Oldřich Kowalski, Alena Vanžurová — 2011
• Jordan Canonical Form: Theory and PracticeSteven H. Weintraub — 2009
• Homogeneous 4-Dimensional Kähler–Weyl StructuresMiguel Brozos‐Vázquez, Eduardo García‐Río, Peter Gilkey — 2012
• K\"ahler-Weyl manifolds of dimension 4Peter Gilkey, Stana Nikčević — 2011
• On submanifolds whose tubular hypersurfaces have constant higher order mean curvaturesTian Shou Jin, Jian Ge — 2016
• Almost paracontact structures on Kaluza–Klein spacesCornelia-Livia Bejan, Simona-Luiza Druţă-Romaniuc, Novac-Claudiu Chiriac — 2017
• Sharp sectional curvature bounds and a new proof of the spectral theoremMaxine Calle, Corey Dunn — 2018
• Transplanting geometrical structuresYunhee Euh, Peter Gilkey, JeongHyeong Park — 2013
• On moduli spaces for finite-order jets of linear connectionsAdrián Gordillo-Merino, José Navarro — 2015
• A common generalization of curvature homogeneity theoriesCorey Dunn, Alexandro Luna, Sammy Sbiti — 2020
• (para)-K\"ahler Weyl structuresP. Gilkey, S. Nikcevic — 2012
• (para)-Kähler Weyl StructuresP. Gilkey, S. Nikčević — 2012

Related papers

• Affine Differential Geometry: Geometry of Affine ImmersionsKatsumi Nomizu — 2008
• Spherical curves and their analogues in affine differential geometryErwin Kreyszig, A. Pendl — 1975
• Géométrie différentielle affine des courbes planesTiberiu Mihăilescu — 1959
• Spherical Curves and their Analogues in Affine Differential GeometryErwin Kreyszig, A. Pendl — 1975
• Statistical manifolds and affine differential geometryHiroshi Matsuzoe — 2010
• 변화에 의한 기하교육곽동애, 기우항, 우경수 — 1998
• From Affine to Euclidean Geometry: An Axiomatic ApproachVictor Pambuccian, Wanda Szmielew, Maria Moszyńska — 1983
• Differential Geometry for Physicists and Mathematicians:Moving Frames and Differential Forms: From Euclid Past RiemannJosé G. Vargas — 2014