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Open AccessArticle

Submanifolds in Normal Complex Contact Manifolds

by Adela Mihai 1,† and Ion Mihai 2,*,†
1
Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
2
Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2019, 7(12), 1195; https://doi.org/10.3390/math7121195
Received: 7 November 2019 / Accepted: 28 November 2019 / Published: 5 December 2019
(This article belongs to the Special Issue Complex and Contact Manifolds)
In the present article we initiate the study of submanifolds in normal complex contact metric manifolds. We define invariant and anti-invariant ( C C -totally real) submanifolds in such manifolds and start the study of their basic properties. Also, we establish the Chen first inequality and Chen inequality for the invariant δ ( 2 , 2 ) for C C -totally real submanifolds in a normal complex contact space form and characterize the equality cases. We also prove the minimality of C C -totally real submanifolds of maximum dimension satisfying the equalities. View Full-Text
Keywords: normal complex contact space forms; submanifolds; δ-invariants normal complex contact space forms; submanifolds; δ-invariants
MDPI and ACS Style

Mihai, A.; Mihai, I. Submanifolds in Normal Complex Contact Manifolds. Mathematics 2019, 7, 1195.

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