caa a22 4500 475740920 CHVBK 20180406123459.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1026663306290 doi (NATIONALLICENCE)springer-10.1023/A:1026663306290 On the Constant Type of Almost Hermitian Manifolds [Elektronische Daten] [V. Kirichenko, I. Tret'yakova] We suggest a most natural generalization of the notion of constant type for nearly Kählerian manifolds introduced by A. Gray to arbitrary almost Hermitian manifolds. We prove that the class of almost Hermitian manifolds of zero constant type coincides with the class of Hermitian manifolds. We show that the class of G 1-manifolds of zero constant type coincides with the class of 6-dimensional G 1-manifolds with a non-integrable structure. Finally, we prove that the class of normal G 2-manifolds of nonzero constant type coincides with the class of 4-dimensional G 2-manifolds with a nonintegrable structure. Plenum Publishing Corporation, 2000 almost complex structure nationallicence nearly Kähler manifold nationallicence quasi Kähler manifold nationallicence Nijenhuis tensor nationallicence almost Hermitian manifold nationallicence manifold of constant type nationallicence Kirichenko V. Moscow State Pedagodical University, Russia aut Tret'yakova I. Moscow State Pedagodical University, Russia aut Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 569-575 0001-4346 68:5-6<569 2000 68 11006 https://doi.org/10.1023/A:1026663306290 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026663306290 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kirichenko V. Moscow State Pedagodical University, Russia aut NATIONALLICENCE 700 1- Tret'yakova I. Moscow State Pedagodical University, Russia aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 569-575 0001-4346 68:5-6<569 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer