Brief communications

Intrinsic geometry of nets on a multidimensional surface in a conformal space

T. V. Zvereva

Chair of Geometry, Chuvash State Pedagogical University, Cheboksary, Russia

Abstract: Until now the intrinsic geometry of nets on a surface $V_m$ in a conformal space $C_n$ was not investigated in the mathematical literature. The goal of this work is to start analyzing this problem in differential geometry. We perform the study on the $m$-dimensional surface $V_m$ in $C_n$.

Keywords: conformal space, hyperband, surface framing, affine connection, net.

UDC: 514.756.2

Received: 20.10.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:5, 71–74

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