Sectional curvatures of holomorphic planes on a real hypersurface in \(P^ n({\mathbb{C}})\)
From MaRDI portal
Publication:1083701
DOI10.1007/BF01450843zbMath0605.53023MaRDI QIDQ1083701
Publication date: 1987
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164213
Related Items (61)
Derivatives on real hypersurfaces of two-dimensional non-flat complex space forms ⋮ Comparing Lie derivatives on real hypersurfaces in complex projective spaces ⋮ A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator ⋮ Ruled real hypersurfaces in the indefinite complex projective space ⋮ Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving $\delta(2)$ ⋮ Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster Reeb parallel shape operator ⋮ Transversal symmetries on real hypersurfaces in a complex space form ⋮ Integral curves of characteristic vector fields of real hypersurfaces in nonflat complex space forms ⋮ Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes ⋮ Transversal Killing operators on real hypersurfaces in nonflat complex space forms ⋮ New results on derivatives of the shape operator of a real hypersurface in a complex projective space ⋮ Weakly Einstein real hypersurfaces in \(\mathbb{C} P^2\) and \(\mathbb{C} H^2\) ⋮ Some conditions concerning the shape operator of a real hypersurface in complex projective space ⋮ \(\phi\)-sectional curvatures of homogeneous real hypersurfaces in a complex projective space ⋮ On the Riemannian curvature tensor of a real hypersurface in a complex projective space ⋮ Commutativity of Cho and structure Jacobi operators of a real hypersurface in a complex projective space ⋮ Ruled real hypersurfaces of a complex space form ⋮ Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators ⋮ GTW parallel structure Jacobi operator of real hypersurfaces in nonflat complex space forms ⋮ On 2-Hopf hypersurfaces in nonflat complex planes ⋮ Unnamed Item ⋮ Gradient pseudo‐Ricci solitons of real hypersurfaces ⋮ Ruled real hypersurfaces in the complex hyperbolic quadric ⋮ Real hypersurfaces foliated by totally real totally geodesic submanifolds ⋮ Derivatives on Real Hypersurfaces of Non-flat Complex Space Forms ⋮ Levi harmonic maps of contact Riemannian manifolds ⋮ CHARACTERIZATIONS OF HYPERSURFACES OF TYPE A2 IN A COMPLEX PROJECTIVE SPACE ⋮ A certain tensor on real hypersurfaces in a nonflat complex space form ⋮ REAL HYPERSURFACES WITH φ-INVARIANT SHAPE OPERATOR IN A COMPLEX PROJECTIVE SPACE ⋮ Real hypersurfaces in a nonflat complex space form whose \(\ast\)-Ricci tensor is \(\mathbb{D}\)-recurrent ⋮ Generalized Tanaka-Webster and covariant derivatives on a real hypersurface in a complex projective space ⋮ Quasi-Einstein hypersurfaces of complex space forms ⋮ The homogeneous ruled real hypersurface in a complex hyperbolic space ⋮ On real hypersurfaces of a complex projective space ⋮ Certain CR submanifolds of maximal CR dimension of complex space forms ⋮ Real hypersurfaces in complex projective space with recurrent structure Jacobi operator ⋮ Real hypersurfaces with Miao-Tam critical metrics of complex space forms ⋮ On a Hopf hypersurface of a complex space form ⋮ Real hypersurfaces in a complex projective space with pseudo- % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaWefv3ySLgznfgDOjdarCqr1ngBPrginfgDObcv % 39gaiyaacqWFdcpraaa!47B8! $$ \mathbb{D} $$ -parallel structure Jacobi … ⋮ Ruled hypersurfaces with constant mean curvature in complex space forms ⋮ Real hypersurfaces with constant totally real bisectional curvature in complex space forms ⋮ Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces ⋮ Real hypersurfaces with constant totally real sectional curvature in a complex space form ⋮ Certain condition on the second fundamental form of CR submanifolds of maximal CR dimension of complex projective space ⋮ Extrinsic geodesics and hypersurfaces of type (A) in a complex projective space ⋮ A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space ⋮ Sectional curvatures of homogeneous real hypersurfaces of types (A) and (B) in a complex projective space ⋮ A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form ⋮ Ruled real hypersurfaces in the complex quadric ⋮ Derivatives of the operator \(\phi a - A\phi\) on a real hypersurface in non-flat complex space forms ⋮ Real hypersurfaces with constant \(\phi \)-sectional curvature in complex projective space ⋮ Ricci solitons of compact real hypersurfaces in Kähler manifolds ⋮ Ideal CR Submanifolds ⋮ Codimension reduction and second fundamental form of CR submanifolds in complex space forms ⋮ A certain \(\eta\)-parallelism on real hypersurfaces in a nonflat complex space form ⋮ Classification theorems for biharmonic real hypersurfaces in a complex projective space ⋮ New construction of ruled real hypersurfaces in a complex hyperbolic space and its applications ⋮ Real hypersurfaces in a nonflat complex space form whose certain tensor is recurrent ⋮ On a class of real hypersurfaces in a complex space form with weakly \(\phi\)-invariant shape operator ⋮ Transversal Killing \(h\)-operators on real hypersurfaces in nonflat complex space forms ⋮ Behavior of ruled real hypersurfaces in a nonflat complex space form from the viewpoint of the curvature tensor
Cites Work
- A characterization of seven compact Kähler submanifolds by holomorphic pinching
- On locally symmetric Kaehler submanifolds in a complex projective space
- Ruled Submanifolds of Space Forms with Mean Curvature of Nonzero Constant Length
- Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
- Focal Sets and Real Hypersurfaces in Complexes Projective Space
- Geometric applications of critical point theory to submanifolds of complex projective space
- On Some Real Hypersurfaces of a Complex Projective Space
- On real hypersurfaces of a complex projective space
- Unnamed Item
This page was built for publication: Sectional curvatures of holomorphic planes on a real hypersurface in \(P^ n({\mathbb{C}})\)
