We study the geometry of the second fundamental form of a Cauchy-Riemann submanifold of a Kaehlerian Finsler space M2n; any totally-real submanifold of M2n with v-flat normal connection is shown to be a Berwald-Cartan space.
@article{urn:eudml:doc:41771, title = {Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces.}, journal = {Collectanea Mathematica}, volume = {40}, year = {1989}, pages = {225-240}, zbl = {0723.53033}, mrnumber = {MR1099243}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41771} }
Dragomir, Sorin. Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces.. Collectanea Mathematica, Tome 40 (1989) pp. 225-240. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41771/