3 results
On Characterizations of Real Hypersurfaces in a Complex Space Form with η-Parallel Shape Operator
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- Journal:
- Canadian Mathematical Bulletin / Volume 55 / Issue 1 / 01 March 2012
- Published online by Cambridge University Press:
- 20 November 2018, pp. 114-126
- Print publication:
- 01 March 2012
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In this paper we study real hypersurfaces in a non-flat complex space form with
$\eta $-parallel shape operator. Several partial characterizations of these real hypersurfaces are obtained.
REAL HYPERSURFACES WITH CYCLIC-PARALLEL STRUCTURE JACOBI OPERATORS IN A NONFLAT COMPLEX SPACE FORM
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 81 / Issue 2 / April 2010
- Published online by Cambridge University Press:
- 21 October 2009, pp. 260-273
- Print publication:
- April 2010
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Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator
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- Journal:
- Canadian Mathematical Bulletin / Volume 51 / Issue 3 / 01 September 2008
- Published online by Cambridge University Press:
- 20 November 2018, pp. 359-371
- Print publication:
- 01 September 2008
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Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied. Among them, homogeneous real hypersurfaces of type
$\left( A \right)$ in a complex projective or hyperbolic space are characterized as those whose structure Jacobi operator commutes with the shape operator.
