Remarkable Classes of Almost 3-Contact Metric Manifolds

• Main Author: Giulia Dileo
• Format: Article
• Language: English
• Published: MDPI AG 2021-01-01
• Series: Axioms
• Subjects: almost 3-contact metric manifold; 3-Sasaki; 3-cosymplectic; 3-(α,δ)-Sasaki; 3-δ-cosymplectic; metric connection with skew torsion
• Online Access: https://www.mdpi.com/2075-1680/10/1/8

We introduce a new class of almost 3-contact metric manifolds, called 3-<inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mi>δ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-Sasaki manifolds. We show fundamental geometric properties of these manifolds, analyzing analogies and differences with the known classes of 3-<inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>α</mi><mo>,</mo><mi>δ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-Sasaki (<inline-formula><math display="inline"><semantics><mrow><mi>α</mi><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula>) and 3-<inline-formula><math display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-cosymplectic manifolds.