B.-Y. CHEN INEQUALITIES FOR SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS
Copyright policy )B.-Y. CHEN INEQUALITIES FOR SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS
Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized space forms are studied. They are established for slant, totally real and invariant submanifolds in generalized complex space forms, complex space forms and RK-manifolds.
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Global submanifolds, slant submanifold, invariant submanifold, generalized complex space form, complex space form, squared mean curvature, totally real submanifold, \(K\)-manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), Chen's \(\delta\)-invariant, real space form
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Global submanifolds, slant submanifold, invariant submanifold, generalized complex space form, complex space form, squared mean curvature, totally real submanifold, \(K\)-manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), Chen's \(\delta\)-invariant, real space form
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