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Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces.

Sorin Dragomir (1989)

Collectanea Mathematica

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.

Caustics and wave front propagations: applications to differential geometry

Shyuichi Izumiya, Masatomo Takahashi (2008)

Banach Center Publications

This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.

Certain contact metrics satisfying the Miao-Tam critical condition

Dhriti Sundar Patra, Amalendu Ghosh (2016)

Annales Polonici Mathematici

We study certain contact metrics satisfying the Miao-Tam critical condition. First, we prove that a complete K-contact metric satisfying the Miao-Tam critical condition is isometric to the unit sphere S 2 n + 1 . Next, we study (κ,μ)-contact metrics satisfying the Miao-Tam critical condition.

Currently displaying 21 – 40 of 529