A vanishing theorem for vertical tensor fields on complex Finsler bundles
type: Item
instance of: scholarly article
zbMATH Open document ID: 1274.53033
author: Cristian Ida
publication date: 2012-10-04T00:00:00Z
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53B21
Mathematics Subject Classification ID: 32L20
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 6090207
zbMATH Keywords: complex Finsler bundles
zbMATH Keywords: vertical Laplacian
zbMATH Keywords: vanishing theorems
MaRDI profile type: Publication
title: A vanishing theorem for vertical tensor fields on complex Finsler bundles
published in: Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
review text: In a previous paper, the author have proved that the vertical Laplacian associated to a complex Finsler bundle \((E,L)\) over a Hermitian manifold \((M, g)\) has similar properties to those of the horizontal Laplacian associated to a strongly Kähler-Finsler manifold.NEWLINENEWLINE In the paper under review, using the Bochner technique for the vertical Laplacian associated to a complex Finsler bundle \((E,L)\) over a Hermitian manifold \((M,g)\), the author obtains a vanishing theorem for holomorphic vertical tensor fields with compact support on the total space of \((E,L)\).
reviewed by: Adrian Sandovici
description: scientific article; zbMATH DE number 6090207