Correction: Alshehri, N.; Guediri, M. Projective Vector Fields on Semi-Riemannian Manifolds. <i>Mathematics</i> 2024, <i>12</i>, 2914

Correction: Alshehri, N.; Guediri, M. Projective Vector Fields on Semi-Riemannian Manifolds. <i>Mathematics</i> 2024, <i>12</i>, 2914

In our recent paper [1], we stated in Theorem 10 that on an <i>n</i>-dimensional semi-Riemannian manifold <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>N</m...

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Bibliographic Details
Main Authors:	Norah Alshehri, Mohammed Guediri
Format:	Article
Language:	English
Published:	MDPI AG 2024-12-01
Series:	Mathematics
Subjects:	n/a
Online Access:	https://www.mdpi.com/2227-7390/12/24/3958
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Summary:	In our recent paper [1], we stated in Theorem 10 that on an <i>n</i>-dimensional semi-Riemannian manifold <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>N</mi><mo>,</mo><mi>h</mi><mo>)</mo></mrow></semantics></math></inline-formula> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula>, if <i>P</i> is a projective vector field that is also conformal, satisfying <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>£</mi><mi>P</mi></msub><mi>h</mi><mo>=</mo><mn>2</mn><mi>ψ</mi><mi>h</mi></mrow></semantics></math></inline-formula>, and the vector field <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ζ</mi></semantics></math></inline-formula>, dual to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mi>ψ</mi></mrow></semantics></math></inline-formula>, maintains a consistent causal character, then either <i>P</i> is homothetic or <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ζ</mi></semantics></math></inline-formula> is light-like [...]
ISSN:	2227-7390