Abstract.
We prove that there do not exist totally umbilical proper slant submanifolds in Kähler manifolds other than totally geodesic proper slant submanifolds.
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Received: January 29, 2008. Revised: April 23, 2008. Accepted: August 20, 2008.
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Şahin, B. Every Totally Umbilical Proper Slant Submanifold of a Kähler Manifold is Totally Geodesic. Results. Math. 54, 167–172 (2009). https://doi.org/10.1007/s00025-008-0324-2
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DOI: https://doi.org/10.1007/s00025-008-0324-2