Results 11 to 20 of about 4,884,947 (262)

Integral geometry of complex space forms [PDF]

Geometric and Functional Analysis, 2013
We show how Alesker's theory of valuations on manifolds gives rise to an algebraic picture of the integral geometry of any Riemannian isotropic space.
A. Bernig, A. Bernig, A. Bernig, A. Bernig, A. Bernig, A. Bernig, A. Bernig, A. Borel, A. Gray, A. Gray, Andreas Bernig, D. Huybrechts, D. Klain, D. Montgomery, E. Abbena, Gil Solanes, H. Federer, H. Federer, H. Tasaki, H. Weyl, J. Abardia, J. Cheeger, J. Tits, J.H.G. Fu, J.H.G. Fu, J.H.G. Fu, J.H.G. Fu, J.H.G. Fu, Joseph H. G. Fu, L.A. Santaló, M. Rumin, S. Alesker, S. Alesker, S. Alesker, S. Alesker, S. Alesker, S. Alesker, S. Alesker, S. Alesker, S. Alesker, S. Helgason, T. Shifrin, W. Blaschke, W. Gysin   +43 more
core   +5 more sources

Polyharmonic hypersurfaces into complex space forms [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 2023
AbstractWe characterize homogeneous hypersurfaces in complex space forms which arise as critical points of a higher order energy functional. As a consequence, we obtain existence and non-existence results for $$\mathbb{C}\mathbb{P}^n$$ C P
José Miguel Balado-Alves
openaire   +4 more sources

K\"ahler immersions of K\"ahler manifolds into complex space forms [PDF]

, 2017
The study of K\"ahler immersions of a given real analytic K\"ahler manifold into a finite or infinite dimensional complex space form originates from the pioneering work of Eugenio Calabi [10].
Loi, Andrea, Zedda, Michela
core   +3 more sources

Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms

Mathematics, 2020
We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms.
Alfonso Carriazo, Jong Taek Cho, Veronica Martín-Molina   +2 more
exaly   +2 more sources

Tangentially biharmonic Lagrangian H-umbilical submanifolds in complex space forms [PDF]

, 2014
The notion of Lagrangian $H$-umbilical submanifolds was introduced by B. Y. Chen in 1997, and these submanifolds have appeared in several important problems in the study of Lagrangian submanifolds from the Riemannian geometric point of view.
Sasahara, Toru
core   +2 more sources

On a New type of Tensor on Real Hypersurfaces in Non-Flat Complex Space Forms

Symmetry, 2019
In this paper the notion of ∗ -Weyl curvature tensor on real hypersurfaces in non-flat complex space forms is introduced. It is related to the ∗ -Ricci tensor of a real hypersurface. The aim of this paper is to provide
George Kaimakamis, Konstantina Panagiotidou   +1 more
exaly   +2 more sources

Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

Open Mathematics, 2015
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Juan De Dios Perez
exaly   +2 more sources

Kähler–Ricci solitons induced by infinite-dimensional complex space forms [PDF]

Pacific Journal of Mathematics, 2021
We exhibit families of non trivial (i.e. not Kähler-Einstein) radial Kähler-Ricci solitons (KRS), both complete and not complete, which can be Kähler immersed into infinite dimensional complex space forms.
A. Loi, F. Zuddas, Filippo Salis
semanticscholar   +1 more source

On the $$\Delta $$-property for complex space forms [PDF]

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2021
Inspired by the work of Z. Lu and G. Tian [8], A. Loi, F. Salis and F. Zuddas address in [5] the problem of studying those Kähler manifolds satisfying the $Δ$-property, i.e. such that on a neighborhood of each of its points the $k$-th power of the Kähler Laplacian is a polynomial function of the complex Euclidean Laplacian, for all positive integer $k$.
openaire   +3 more sources

Differential Geometry of Submanifolds in Complex Space Forms Involving δ-Invariants

Mathematics, 2022
One of the fundamental problems in the theory of submanifolds is to establish optimal relationships between intrinsic and extrinsic invariants for submanifolds.
Bang‐Yen Chen, A. Blaga, G. Vîlcu
semanticscholar   +1 more source