Results 231 to 240 of about 4,884,947 (262)

Lagrangian Bonnet Problems in Complex Space Forms

Acta Mathematica Sinica, English Series, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Huixia, Ma, Hui, Wang, Erxiao
exaly   +5 more sources

Parallel mean curvature biconservative surfaces in complex space forms

Mathematische Nachrichten, 2023
In this paper, we consider PMC surfaces in complex space forms, and study the interaction between the notions of PMC, totally real and biconservative. We first consider PMC surfaces in a non‐flat complex space form and prove that they are biconservative ...
Hiba Bibi, Bang-Yen Chen, Dorel Fetcu
exaly   +2 more sources

Certain submanifolds of complex space forms

São Paulo Journal of Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirjana Djorić, Masafumi Okumura
openaire   +2 more sources

On the existence of generalized complex space forms

Israel Journal of Mathematics, 1989
Let \((M,g,J)\) be an almost Hermitian manifold such that its Riemannian curvature tensor has the expression \(R=f\pi_ 1+h\pi_ 2\) where \(f,h\in C^{\infty}\) and \[ \pi_ 1(X,Y)Z = g(X,Z)Y-g(Y,Z)X, \] \[ \pi_ 2(X,Y)Z = g(JX,Z)JY-g(JY,Z)JX+2g(JX,Y)JZ \] for arbitrary vector fields \(X\), \(Y\), \(Z\).
Zbigniew Olszak
exaly   +2 more sources

Extremal Kähler Metrics Induced by Finite or Infinite-Dimensional Complex Space Forms

Journal of Geometric Analysis, 2020
Andrea Loi, Filippo Salis, Fabio Zuddas   +2 more
exaly   +2 more sources

Real Hypersurfaces in Complex Space Forms

2015
The study of real hypersurfaces in complex projective space CP n and complex hyperbolic space CH n began at approximately the same time as Munzner’s work on isoparametric hypersurfaces in spheres. A key early work was Takagi’s classification [669] in 1973 of homogeneous real hypersurfaces in CP n .
Thomas E. Cecil, Patrick J. Ryan
openaire   +2 more sources

The Holomorphic Statistical Structures of Constant Holomorphic Sectional Curvature on Complex Space Forms

Bulletin of the Iranian Mathematical Society
Liang Zhang
exaly   +2 more sources

On a Lorentzian Complex Space Form

National Academy Science Letters, 2020
The aim of the present paper is to study the theory of general relativity in a Lorentzian Kahler space. In this paper, we have considered the Lorentzian complex space form with constant sectional curvature and proved that a Lorentzian complex space form satisfying Einstein’s field equation is a Ricci semi-symmetric space and the energy–momentum tensor ...
Pankaj Pandey, B. B. Chaturvedi
openaire   +1 more source

Some Problems on Ruled Hypersurfaces in Nonflat Complex Space Forms

Results in Mathematics, 2020
We study ruled real hypersurfaces whose shape operators have constant squared norm in nonflat complex space forms. In particular, we prove the nonexistence of such hypersurfaces in the projective case.
Olga Perez-Barral
semanticscholar   +1 more source

Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections

International Journal of Geometric Methods in Modern Physics (IJGMMP), 2019
In this paper, we obtain Chen’s inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections.
Yong Wang
semanticscholar   +1 more source