Geometry of 6-dimensional Hermitian manifolds of the octave algebra

DOI10.1007/s10958-015-2377-6zbMath1365.53064OpenAlexW2055790251MaRDI QIDQ2515233

Mikhaĭl Borisovich Banaru

Publication date: 31 July 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2377-6

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items

Unnamed Item ⋮ On almost contact metric hypersurfaces with type number 1 or 0 in 6-dimensional Hermitian submanifolds of the Cayley algebra ⋮ A note on geometry of special Hermitian manifolds

Cites Work

• Submanifolds and special structures on the octonians
• On nearly-Kähler geometry
• On the DDVV conjecture and the comass in calibrated geometry. I
• Almost complex submanifolds of a 6-dimensional sphere
• On some compact Einstein almost Kähler manifolds
• Ricci curvatures of contact Riemannian manifolds
• Almost Hermitian manifolds satisfying some curvature conditions
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• On locally symmetric Kaehler submanifolds in a complex projective space
• On locally conformal almost Kaehler manifolds
• A class of hypersurfaces with constant principal curvatures in a sphere
• The structure of nearly Kähler manifolds
• Curvature identities for Hermitian and almost Hermitian manifolds
• Characteristic classes of oriented 6-dimensional submanifolds in the octonians
• Six-dimensional quasi-Kähler manifolds of constant sectional curvature
• Oriented 6-dimensional submanifolds in the octonions. III
• Hermitian geometry of six-dimensional symmetric submanifolds of Cayley algebra
• Locally conformal Kähler geometry
• The type number of real hypersurfaces in \(P_n(\mathbb{C})\)
• Almost Hermitian manifolds with constant holomorphic sectional curvature
• On pseudosymmetric para-Kählerian manifolds
• On six-dimensional almost Hermitian manifolds with pointwise constant holomorphic sectional curvature
• Varieta parakähleriane
• A note on six-dimensional \(G_1\)-submanifolds of the octave algebra
• On six-dimensional \(G2\)-submanifolds of the Cayley algebra.
• On some 4-dimensional almost Kähler manifolds
• The Ricci curvature of totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere
• Curvature vs. almost Hermitian structures
• Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere
• Doubly warped product CR-submanifolds in locally conformal Kähler manifolds
• Minimal varieties and almost Hermitian submanifolds
• Extrinsic homogeneous almost Hermitian 6-dimensional submanifolds in the octonions
• Vector cross products
• Holomorphic bisectional curvature
• Some examples of almost Hermitian manifolds
• Six dimensional almost complex manifolds defined by means of three-fold vector cross products
• Nearly Kähler manifolds
• Kähler manifolds as real hypersurfaces
• Note on cross-sections in Stiefel manifolds
• Stetige Lösungen linearer Gleichungssysteme
• Hermitian manifolds of pointwise constant antiholomorphic sectional curvatures
• Construction and Properties of Some 6-Dimensional Almost Complex Manifolds
• CURVATURE AND INTEGRABILITY OF AN ALMOST HERMITIAN STRUCTURE
• THREE-FORMS AND ALMOST COMPLEX STRUCTURES ON SIX-DIMENSIONAL MANIFOLDS
• New Examples of Strictly Almost Kahler Manifolds
• Self-dual geometry of generalized Hermitian surfaces
• On Locally and Globally Conformal Kahler Manifolds
• Totally Real Submanifolds in a 6-Sphere
• Curvature Tensors on Almost Hermitian Manifolds
• Conformal invariants of Vaisman-Gray manifolds
• SPECIAL LAGRANGIAN SUBMANIFOLDS OF THE NEARLY KAEHLER 6-SPHERE
• Hermitian geometry of 6-dimensional submanifolds of the Cayley algebra
• On Sasakian hypersurfaces in 6-dimensional Hermitian submanifolds of the Cayley algebra
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• Symmetrization in the geometric theory of functions of a complex variable
• CLASSIFICATION OF LAGRANGIAN WILLMORE SUBMANIFOLDS OF THE NEARLY KAEHLER 6-SPHERE $S^6(1)$ WITH CONSTANT SCALAR CURVATURE
• Almost contact structures induced on hypersurfaces in complex and almost complex spaces
• Generalized Gray-Hervella classes and holomorphically projective transformations of generalized almost-Hermitian structures
• Almost Complex Submanifolds of the Six Sphere
• Vector Cross Products on Manifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Constancy of holomorphic sectional curvature in almost Hermitian manifolds
• The Bochner curvature tensor on almost Hermitian manifolds
• An example of an almost Kähler manifold with pointwise constant holomorphic sectional curvature
• The type number on real hypersurfaces in a quaternion space form.
• Nearly Kähler 6-manifolds with reduced holonomy