Results 21 to 30 of about 4,884,947 (262)
Complex space forms immersed in complex space forms [PDF]
Transactions of the American Mathematical Society, 1976 We determine all the isometric immersions of complex space forms into complex space forms. Our result can be considered as the local version of a well-known result of Calabi.
Nakagawa, H., Ogiue, K.
openaire +1 more source
Some inequalities of anti-invariant Riemannian submersions in complex space forms
Miskolc Mathematical Notes, 2022 The aim of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of anti-invariant Riemannian submersions in complex space forms.
Y. Gündüzalp, Murat Polat
semanticscholar +1 more source
Kähler immersions of Kähler–Ricci solitons into definite or indefinite complex space forms [PDF]
Proceedings of the American Mathematical Society, 2020 Let (g,X) be a Kähler–Ricci soliton on a complex manifold M . We prove that if the Kähler manifold (M, g) can be Kähler immersed into a definite or indefinite complex space form then g is Einstein.
A. Loi, R. Mossa
semanticscholar +1 more source
Chen-Ricci inequalities in slant submersions for complex space forms
Filomat, 2022 The goal of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of slant submersions in complex space forms.
Y. Gündüzalp, Murat Polat
semanticscholar +1 more source
CR-SUBMANIFOLDS OF A COMPLEX SPACE FORM [PDF]
Journal of Differential Geometry, 1981 Publisher Summary This chapter presents some fundamental formulas for submanifolds of a Kaehlerian manifold, and in particular for those of a complex space form, and discusses the CR-submanifolds and generic submanifolds. The chapter discusses various theorems related to CR-submanifolds. Theorem 1 is fundamental in the study of CR-submanifolds.
Bejancu, Aurel +2 more
openaire +2 more sources
Homogeneous Lagrangian foliations on complex space forms [PDF]
Proceedings of the American Mathematical Society, 2020 We classify holomorphic isometric actions on complex space forms all of whose orbits are Lagrangian submanifolds, up to orbit equivalence. The only examples are Lagrangian affine subspace foliations of complex Euclidean spaces, and Lagrangian horocycle ...
J. Díaz-Ramos +2 more
semanticscholar +1 more source
AN IMPROVED CHEN-RICCI INEQUALITY FOR KAEHLERIAN SLANT SUBMANIFOLDS IN COMPLEX SPACE FORMS
Taiwanese Journal of Mathematics, 2012 Adela Mihai
exaly +2 more sources
Complex Hypersurfaces in an Indefinite Complex Space Form
Tokyo Journal of Mathematics, 1987 Let M be a complex hypersurface of index 2s in an \((n+1)\)-dimensional indefinite complex space form of constant holomorphic sectional curvature c(\(\neq 0)\) and of index \(2(s+a),\) where \(a=0\) or 1. The authors prove that M is Einstein if M satisfies \(R(X,Y)\cdot S=0\) where R and S denote the curvature tensor and the Ricci tensor, respectively.
AIYAMA, Reiko +3 more
openaire +2 more sources
Complete parallel mean curvature surfaces in two-dimensional complex space-forms [PDF]
, 2018 The purpose of this article is to determine explicitly the complete surfaces with parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic plane.
Kenmotsu, Katsuei
core +3 more sources
On the Minkowski Formula for Hypersurfaces in Complex Space Forms
International mathematics research notices, 2020 In this paper, we discuss various Minkowski-type formulas for real hypersurfaces in complex space forms. In particular, we investigate the formulas suggested by the natural splitting of the tangent space.
Vittorio Martino, G. Tralli
semanticscholar +1 more source