An example of Lichnerowicz-type Laplacian

Mikeš, Josef; Rovenski, Vladimir; Степанов, С. Е.

doi:10.1007/s10455-020-09714-9

Cited by 24 publications

(21 citation statements)

References 36 publications

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“…109-110]). This article continues our study of the Sampson Laplacian, which we carried out in [24].…”

Section: The Sampson Laplacian On Negatively Pinched Riemannian Manifoldsmentioning

confidence: 65%

“…The symmetries of Rm imply that • R is a selfadjoint operator, with respect to the point-wise inner product on S 2 0 M . That is why, the eigenvalues of [5,6,19,23,24,41], etc.…”

Section: The Sampson Laplacian On Negatively Pinched Riemannian Manifoldsmentioning

confidence: 99%

“…In addition, from (1.2) we conclude that p : S p M → S p M is a symmetric endomorphism. More properties of the operator ∆ S can be found in the following papers: [24,30,31,32,33,42].…”

Section: The Sampson Laplacian and Its Weitzenböck Curvature Operatormentioning

confidence: 99%

“…The Lichnerowicz-type Laplacian has the form (see [17,24])…”

Section: Introductionmentioning

confidence: 99%

“…335; 347]). At the same time, the Sampson Laplacian ∆ S acting on C ∞ -sections of the vector bundle S p M has the following Weitzenböck decomposition (see [24,28,33]):…”

Section: Introductionmentioning

confidence: 99%

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The Sampson Laplacian on Negatively Pinched Riemannian Manifolds

Rovenski

Степанов²,

Tsyganok³

2021

International Electronic Journal of Geometry

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“…109-110]). This article continues our study of the Sampson Laplacian, which we carried out in [24].…”

Section: The Sampson Laplacian On Negatively Pinched Riemannian Manifoldsmentioning

confidence: 65%

“…The symmetries of Rm imply that • R is a selfadjoint operator, with respect to the point-wise inner product on S 2 0 M . That is why, the eigenvalues of [5,6,19,23,24,41], etc.…”

Section: The Sampson Laplacian On Negatively Pinched Riemannian Manifoldsmentioning

confidence: 99%

“…In addition, from (1.2) we conclude that p : S p M → S p M is a symmetric endomorphism. More properties of the operator ∆ S can be found in the following papers: [24,30,31,32,33,42].…”

Section: The Sampson Laplacian and Its Weitzenböck Curvature Operatormentioning

confidence: 99%

“…The Lichnerowicz-type Laplacian has the form (see [17,24])…”

Section: Introductionmentioning

confidence: 99%

“…335; 347]). At the same time, the Sampson Laplacian ∆ S acting on C ∞ -sections of the vector bundle S p M has the following Weitzenböck decomposition (see [24,28,33]):…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations