caa a22 4500 475839617 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1023/A:1006354630911 doi (NATIONALLICENCE)springer-10.1023/A:1006354630911 On Norden Metrics which Are Locally Conformal to Anti-Kählerian Metrics [Elektronische Daten] [Sorin Dragomir, Mauro Francaviglia] We build examples of Norden metrics on Σ × S 1, where Σ ⊂ R 2 n n is either a pseudosphere or a pseudohyperbolic space. These turn out to be locally conformal to flat anti-Kählerian metrics, strongly non anti-Kählerian, and with a parallel Lee form. Conversely, any connected complete anti-Hermitian manifold possessing these properties is shown to be locally analytically homothetic to Σ × S 1. Kluwer Academic Publishers, 2000 Norden metric nationallicence locally conformal anti-Kähler nationallicence Lee field nationallicence Weyl connection nationallicence nondegenerately reducible holonomy group nationallicence Dragomir Sorin Dipartimento di Matematica, Università degli Studi della Basilicata, Via N. Sauro 85, 85100, Potenza, Italy aut Francaviglia Mauro Istituto di Fisica Matematica J. L. Lagrange, Università di Torino, Via C. Alberto 10, 10123, Torino, Italy aut Acta Applicandae Mathematica Kluwer Academic Publishers 60/2(2000-01-01), 115-135 0167-8019 60:2<115 2000 60 10440 https://doi.org/10.1023/A:1006354630911 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1006354630911 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dragomir Sorin Dipartimento di Matematica, Università degli Studi della Basilicata, Via N. Sauro 85, 85100, Potenza, Italy aut NATIONALLICENCE 700 1- Francaviglia Mauro Istituto di Fisica Matematica J. L. Lagrange, Università di Torino, Via C. Alberto 10, 10123, Torino, Italy aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 60/2(2000-01-01), 115-135 0167-8019 60:2<115 2000 60 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer