대한수학회지 (Journal of the Korean Mathematical Society)

  • 제44권3호
  • /
  • Pages.647-659
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  • 2007
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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NEW RELATIONSHIPS INVOLVING THE MEAN CURVATURE OF SLANT SUBMANIFOLDS IN S-SPACE-FORMS

  • Fernandez, Luis M. (DEPARTMENT OF GEOMETRY AND TOPOLOGY FACULTY OF MATHEMATICS UNIVERSITY OF SEVILLA) ;
  • Hans-Uber, Maria Belen (DEPARTMENT OF GEOMETRY AND TOPOLOGY FACULTY OF MATHEMATICS UNIVERSITY OF SEVILLA)
  • 발행 : 2007.05.31
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초록

Relationships between the Ricci curvature and the squared mean curvature and between the shape operator associated with the mean curvature vector and the sectional curvature function for slant submanifolds of an S-space-form are proved, particularizing them to invariant and anti-invariant submanifolds tangent to the structure vector fields.

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참고문헌

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피인용 문헌

  1. RICCI CURVATURE OF SUBMANIFOLDS OF AN S-SPACE FORM vol.46, pp.5, 2009, https://doi.org/10.4134/BKMS.2009.46.5.979
  2. On Chen invariants and inequalities in quaternionic geometry vol.2013, pp.1, 2013, https://doi.org/10.1186/1029-242X-2013-66