Gilkey, Peter B.; Leahy, John V.; Park, Jeong Hyeong The eigenforms of the complex Laplacian for a Hermitian submersion. (English) Zbl 0971.53042 Nagoya Math. J. 156, 135-157 (1999). Authors’ abstract: Let \(\pi:Z\to Y\) be a Hermitian submersion. We study when the pull-back of an eigenform of the complex Laplacian on \(Y\) is an eigenform of the complex Laplacian on \(Z\). Cited in 1 Document MSC: 53C43 Differential geometric aspects of harmonic maps 58E20 Harmonic maps, etc. 53C55 Global differential geometry of Hermitian and Kählerian manifolds Keywords:Hermitian submersion; eigenform; Laplacian × Cite Format Result Cite Review PDF Full Text: DOI References: [1] CRC Press, Boca Raton pp 0– (1994) [2] J. Diff. Geo 11 pp 147– (1976) · Zbl 0355.53037 · doi:10.4310/jdg/1214433303 [3] Non-linear functional analysis and harmonic maps [4] J. Diff. Geo 8 pp 85– (1973) · Zbl 0274.53040 · doi:10.4310/jdg/1214431482 [5] Illinois J Math 26 pp 181– (1982) [6] Bull. Korean Math. Soc 27 pp 39– (1990) [7] DOI: 10.1088/0305-4470/29/17/035 · Zbl 0905.58003 · doi:10.1088/0305-4470/29/17/035 [8] J. Korean Math. Soc 15 pp 39– (1978) [9] J. Diff. Geo 15 pp 71– (1980) · Zbl 0442.53030 · doi:10.4310/jdg/1214435384 [10] J. Diff. Geo 13 pp 139– (1978) · Zbl 0381.53033 · doi:10.4310/jdg/1214434352 [11] Illinois J Math 40 pp 194– (1996) [12] DOI: 10.1016/S0550-3213(97)00770-0 · Zbl 0928.53026 · doi:10.1016/S0550-3213(97)00770-0 [13] DOI: 10.1090/S0002-9939-98-04733-9 · Zbl 0903.58061 · doi:10.1090/S0002-9939-98-04733-9 [14] DOI: 10.2996/kmj/1138035643 · Zbl 0399.53011 · doi:10.2996/kmj/1138035643 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.