On a New type of Tensor on Real Hypersurfaces in Non-Flat Complex Space Forms
Faculty of Mathematics and Engineering Sciences, Hellenic Army Academy, Vari, 16673 Attiki, Greece
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 17 March 2019 / Revised: 11 April 2019 / Accepted: 16 April 2019 / Published: 18 April 2019
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In this paper the notion of
-Weyl curvature tensor on real hypersurfaces in non-flat complex space forms is introduced. It is related to the
-Ricci tensor of a real hypersurface. The aim of this paper is to provide two classification theorems concerning real hypersurfaces in non-flat complex space forms in terms of
-Weyl curvature tensor. More precisely, Hopf hypersurfaces of dimension greater or equal to three in non-flat complex space forms with vanishing
-Weyl curvature tensor are classified. Next, all three dimensional real hypersurfaces in non-flat complex space forms, whose
-Weyl curvature tensor vanishes identically are classified. The used methods are based on tools from differential geometry and solving systems of differential equations.
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Kaimakamis, G.; Panagiotidou, K. On a New type of Tensor on Real Hypersurfaces in Non-Flat Complex Space Forms. Symmetry 2019, 11, 559.
Kaimakamis G, Panagiotidou K. On a New type of Tensor on Real Hypersurfaces in Non-Flat Complex Space Forms. Symmetry. 2019; 11(4):559.
Kaimakamis, George; Panagiotidou, Konstantina. 2019. "On a New type of Tensor on Real Hypersurfaces in Non-Flat Complex Space Forms." Symmetry 11, no. 4: 559.
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