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April 1, 20260 citationsOpen Access

Lie derivatives of homogeneous structures of real hypersurfaces in a complex space form

SFShoto FujikiSNSetsuo NagaiTSTakashi Sasaki

Key Points

  • This research aims to calculate the Lie derivatives of homogeneous structure tensors for homogeneous real hypersurfaces.
  • Calculating Lie derivatives of structure tensors
  • Analyzing homogeneous real hypersurfaces
  • Using structure vector fields
  • Lie derivatives are successfully calculated for various tensors
  • Two characterization theorems for type (A) homogeneous real hypersurfaces are established

Abstract

In this paper we calculate the Lie derivatives of homogeneous structure tensors of homogeneous real hypersurfaces in nonflat complex space forms in the direction of the structure vector field. Using these results, we give two characterization theorems of a homogeneous real hypersurface of type (A) in a nonflat complex space form.

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Cite This Study

Fujiki et al. (2019) studied this question.

synapsesocial.com/papers/69cd7a815652765b073a7b22https://doi.org/10.15099/00020423
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